@phdthesis{Abb89,
author = "J.~A.~Abbott",
title = "On the Factorization of Polynomials over Algebraic Fields",
school = "School of Mathematical Sciences,
University of Bath",
month = "September",
year = "1989",
}
The representations and generic degrees of the Hecke algebra of type $H_4$, D. Alvis and G. Lusztig
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author = "D. Alvis and G. Lusztig",
title = "The representations and generic degrees of the {Hecke}
algebra of type {$H_4$}",
journal = "J. reine angew. Math.",
year = "",
volume = "",
pages = "201--212",
note = "Correction\:\ ibid. {\bf 449}, 217--218 (1994)"
}
The left cells of the Coxeter group of type $H_4$, Alvis, D.
@Article{Alv87,
author = "Alvis, D.",
title = "The left cells of the {Coxeter} group of type {$H_4$}",
journal = "J. Algebra",
year = "",
volume = "",
pages = "160--168"
}
A procedure for obtaining simplified defining relations for a subgroup, D[avid] G. Arrell and S[anjiv] Manrai and M[ichael] F. Worboys
@inproceedings{AMW82,
author = "D[avid] G. Arrell and
S[anjiv] Manrai and
M[ichael] F. Worboys",
title = "A procedure for obtaining simplified defining
relations for a subgroup",
crossref = "GrpsStAndrews81",
pages = "155--159",
keywords = "finitely presented groups;
subgroup presentation, simplification;
modified Todd Coxeter (mtc), tree decoding;
algorithm description",
reviews = "MR 84a:20041 (from the introduction),
Zbl 488.20003 (J. Neub{\accent127 u}ser)",
}
A modified Todd-Coxeter algorithm, D[avid] G. Arrell and E[dmund] F. Robertson
@inproceedings{AR84,
author = "D[avid] G. Arrell and
E[dmund] F. Robertson",
title = "A modified {T}odd-{C}oxeter algorithm",
crossref = "Durham82",
pages = "27--32",
keywords = "finitely presented groups;
subgroup presentation, simplification;
modified Todd Coxeter (mtc), tree decoding;
algorithm description",
reviews = "MR 86g:20042 (J.~D. Macdonald),
Zbl 556.20001 (J. Neub{\accent127 u}ser)",
}
Galoissche Theorie, E[mil] Artin
@book{Art68,
author = "E[mil] Artin",
title = "Galoissche Theorie",
year = "1968",
publisher = "Verlag Harri Deutsch, Frankfurt/Main",
}
Existenz und effiziente Konstruktion schneller Fouriertransformationen \accent127 uberaufl\accent127 osbarer Gruppen, Ulrich Baum
@phdthesis{Bau91,
author = "Ulrich Baum",
title = "Existenz und effiziente {K}onstruktion schneller
{F}ouriertransformationen
{\accent127 u}beraufl{\accent127 o}sbarer {G}ruppen",
type = "Dissertation",
year = "1991",
school = "Rheinische Friedrich Wilhelm Universit{\accent127 a}t
Bonn",
address = UBonn-A,
}
Nearly Linear Time Algorithms for Permutation Groups with a Small Base, L[azlo] Babai and G[ene] Cooperman and L[arry] Finkelstein and \'A[kos] Seress
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author = "L[azlo] Babai and
G[ene] Cooperman and
L[arry] Finkelstein and
\'A[kos] Seress",
title = "Nearly Linear Time Algorithms for Permutation Groups with
a Small Base",
pages = "200--209",
crossref = "ISSAC91",
}
A note on the Todd-Coxeter coset enumeration algorithm, M[ichael] J. Beetham and C[olin] M. Campbell
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author = "M[ichael] J. Beetham and
C[olin] M. Campbell",
title = "A note on the {T}odd-{C}oxeter coset enumeration
algorithm",
journal = "Proc. Edinburgh Math. Soc. (2)",
volume = "20",
pages = "73--79",
year = "1976",
keywords = "finitely presented groups;
subgroup presentation;
modified Todd Coxeter (mtc);
algorithm description",
reviews = "MR 53 # 3116 (D.~L. Johnson),
Zbl 328.20032 (Summary)",
}
Schur indices and splitting fields of the unitary reflection groups, M. Benard
@Article{Ben76,
author = "M. Benard",
title = "{S}chur indices and splitting fields of the unitary
reflection groups",
journal= "J. Algebra",
year= "",
volume= "",
pages= "318--342"
}
On the degrees and rationality of certain characters of finite Chevalley groups, C. T. Benson and C. W. Curtis
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author = "C. T. Benson and C. W. Curtis",
title = "On the degrees and rationality of certain characters of
finite {Chevalley} groups",
journal = "Trans.\ Amer.\ Math.\ Soc.",
year = "",
volume = "",
pages = "251--273"
}
Characters and Derived Length in Groups of Odd Order, T. R. Berger
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author = "T. R. Berger",
title = "Characters and Derived Length in Groups of Odd Order",
journal = "J. Algebra",
volume = "39",
pages = "199--207",
year = "1976",
}
Collectoren im Programmsystem GAP, Thomas Bischops
@mastersthesis{Bis89,
author = "Thomas Bischops",
title = "Collectoren im {P}rogrammsystem {GAP}",
type = "Diplomarbeit",
year = "1989",
school = "Lehrstuhl D f{\accent127 u}r Mathematik,
Rheinisch Westf{\accent127 a}lische Technische
Hoch\-schule",
address = RWTH-A,
}
Handbook of Cayley Functions, Wieb Bosma and John [J.] Cannon
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author = "Wieb Bosma and
John [J.] Cannon",
title = "Handbook of {Cayley} Functions",
year = "1992",
institution = "Department of Pure Mathematics,
University of Sydney",
address = USydney-A,
keywords = "system design;
Cayley;;
manual",
notes = "PAGES: 282",
}
Groupes et alg\accent18 ebres de Lie, Ch.~4--6, Bourbaki, N.
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author = "Bourbaki, N.",
title = "Groupes et alg{\accent18 e}bres de {L}ie, {C}h.~4--6",
publisher = "Hermann, Paris",
year = "",
note = "Masson, Paris\:\ 1981"
}
A New Lower Bound for Odd Perfect Numbers, Richard P. Brent and Graeme L. Cohen
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author = "Richard P. Brent and
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title = "A New Lower Bound for Odd Perfect Numbers",
journal = "Math. Comput.",
volume = "53",
pages = "431--437",
year = "1989",
}
Die Fundamentalgruppe des Raumes der regul\accent 127 aren Orbits einer endlichen komplexen Spiegelungsgruppe, Brieskorn, E.
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author = "Brieskorn, E.",
title = "Die {Fundamentalgruppe} des {Raumes} der
regul{\accent 127 a}ren {Orbits} einer endlichen komplexen
{Spiegelungsgruppe}",
journal = "Invent. Math.",
year = "",
volume = "",
pages = "57--61"
}
Artin-Gruppen und Coxeter-Gruppen, E. Brieskorn and K. Saito
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author = "E. Brieskorn and K. Saito",
title = "{A}rtin-{G}ruppen und {C}oxeter-{G}ruppen",
journal = "Invent. Math.",
year = "",
volume = "",
pages = "245--271"
}
Zyklotomische Heckealgebren, M. Brou\accent19 e and G. Malle
@InCollection{BM93,
author = "M. Brou{\accent19 e} and G. Malle",
title = "Zyklotomische {H}eckealgebren",
crossref = "Asterisque212",
pages = "119--189"
}
Generic blocks of finite reductive groups, M. Brou\accent19 e and G. Malle and J. Michel
@InCollection{BMM93,
author = "M. Brou{\accent19 e} and G. Malle and J. Michel",
title = "Generic blocks of finite reductive groups",
crossref = "Asterisque212",
pages = "7--92"
}
Repr\accent19 esentations unipotentes g\accent19 en\accent19 eriques et blocs des groupes r\accent19 eductifs finis, M. Brou\accent19 e and G. Malle and J. Michel
@BOOK{Asterisque212,
author = "M. Brou{\accent19 e} and G. Malle and J. Michel",
title = "Repr{\accent19 e}sentations
unipotentes g{\accent19 e}n{\accent19 e}riques
et blocs des groupes r{\accent19 e}ductifs finis",
booktitle = "Repr{\accent19 e}sentations
unipotentes g{\accent19 e}n{\accent19 e}riques
et blocs des groupes r{\accent19 e}ductifs fini",
publisher = "Soci{\accent19 e}t{\accent19 e} {M}ath{\accent19 e}matique
de {F}rance",
series = "Ast{\accent19 e}risque",
volume = "",
year = 1993
}
Distance-Regular Graphs, A.E. Brouwer and A.M. Cohen and A. Neumaier
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author = "A.E. Brouwer and
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A. Neumaier",
title = "Distance-Regular Graphs",
year = "1989",
publisher = "Spinger, Berlin and New York",
}
Crystallographic Groups of Four-Dimensional Space, Harold Brown and Rolf B\accent127 ulow and Joachim Neub\accent127 user and Hans Wondratschek and Hans Zassenhaus
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author = "Harold Brown and
Rolf B{\accent127 u}low and
Joachim Neub{\accent127 u}ser and
Hans Wondratschek and
Hans Zassenhaus",
title = "Crystallographic Groups of Four-Dimensional Space",
year = "1978",
publisher = "John Wiley, New York",
}
Some Recognizable Properties of Solvable Groups, G. Baumslag and F.B. Cannonito and C.F. Miller III
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Author = "G. Baumslag and F.B. Cannonito and C.F. {Miller III}",
Title = "Some Recognizable Properties of Solvable Groups",
Journal = "Math. Z.",
Year = {1981},
Volume = {178},
Pages = {289--295}
}
Computable Algebra and Group Embeddings, G. Baumslag and F.B. Cannonito and C.F. Miller III
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Author = "G. Baumslag and F.B. Cannonito and C.F. {Miller III}",
Title = "Computable Algebra and Group Embeddings",
Journal = "J. Algebra",
Year = {1981},
Volume = {69},
Pages = {186--212}
}
The transitive groups of degree up to 11, Gregory Butler and John McKay
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author = "Gregory Butler and
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title = "The transitive groups of degree up to 11",
journal = "Communications in Algebra",
volume = "11",
year = "1983",
pages = "863--911",
}
The transitive groups of degree fourteen and fifteen, Gregory Butler
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author = "Gregory Butler",
title = "The transitive groups of degree fourteen and fifteen",
journal = "J. Symbolic Computation",
volumn = "16",
year = "1993",
pages = "413--422"
}
On the computation of integral bases and defects of integrity, R. J. Bradford
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author = "R. J. Bradford",
title = "On the computation of integral bases and defects of
integrity",
school = "School of Mathematical Sciences,
University of Bath",
year = "1989",
}
Polynomial Factorization: Sharp Bounds, Efficient Algorithms, Bernhard Beauzamy and Vilmar Trevisan and Paul~S.~Wang
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author = "Bernhard Beauzamy and
Vilmar Trevisan and
Paul~S.~Wang",
title = "Polynomial Factorization:
Sharp Bounds, {E}fficient Algorithms",
journal = "J. Symbolic Computation",
volume = "15",
year = "1993",
pages = "393--413",
}
Theory of Groups of Finite Order, W[illiam~S.] Burnside
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author = "W[illiam~S.] Burnside",
title = "Theory of Groups of Finite Order",
note = "Unabridged republication of the second edition,
published in 1911",
year = "1955",
publisher = "Dover Publications, New York",
notes = "PAGES: xxiv + 512",
}
Computing in Permutation and Matrix Groups II: Backtrack Algorithm, Gregory Butler
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author = "Gregory Butler",
title = "Computing in Permutation and Matrix Groups {II}:
Backtrack Algorithm",
journal = "Math. Comput.",
volume = "39",
pages = "671--680",
year = "1982",
keywords = "permutation groups, matrix groups;;
backtrack through stabilizer chain",
reviews = "MR 83k:20004b (J.~D. Dixon),
Zbl 552.20003 (see Zbl 552.20004 for a review of this article)",
}
Effective Computation with Group Homomorphisms, Gregory Butler
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author = "Gregory Butler",
title = "Effective Computation with Group Homomorphisms",
journal = "J. Symbolic Computation",
volume = "1",
pages = "143--157",
year = "1985",
keywords = "permutation groups;
homomorphisms",
reviews = "MR 87b:68057 (Summary),
Zbl 572.20001 (J. Neub{\accent127 u}ser)",
notes = "TR 184 BDCS (1982), 41 pages",
}
An extension of coset enumeration, Harvey A. Campbell
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author = "Harvey A. Campbell",
title = "An extension of coset enumeration",
type = "M. {S}c. thesis",
year = "1971",
school = "McGill University",
address = McGillU-A,
keywords = "finitely presented groups;
subgroup presentation;
modified Todd Coxeter (mtc);
program description",
}
Construction of defining relators for finite groups, John J. Cannon
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author = "John J. Cannon",
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volumn = "5",
year = "1973",
pages = "105--129",
}
Conjugacy classes in the Weyl group, R. W. Carter
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author = "R. W. Carter",
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year = "",
volume = "",
pages = "1--59"
}
Finite groups of Lie type: Conjugacy classes and complex characters, R. W. Carter
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author = "R. W. Carter",
title = "Finite groups of {Lie} type: {Conjugacy} classes and
complex characters",
publisher = "Wiley, New York",
year = 1985
}
Representation Theory of the 0--Hecke Algebra, R. W. Carter
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author = "R. W. Carter",
title = "Representation Theory of the 0--{H}ecke Algebra",
journal = "J. Algebra",
year = "",
volume = "",
pages = "89--103"
}
Kohomologie und Normalisatoren in GAP, Frank Celler
@mastersthesis{Cel92,
author = "Frank Celler",
title = "Kohomologie und {N}ormalisatoren in {GAP}",
type = "Diplomarbeit",
year = "1992",
school = "Lehrstuhl D f{\accent127 u}r Mathematik,
Rheinisch Westf{\accent127 a}lische Technische
Hoch\-schule",
address = RWTH-A,
}
Some remarks on the computation of complements and normalizers in soluble groups, Frank Celler and Joachim Neub\accent127 user and Charles~R.~B. Wright
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author = "Frank Celler and
Joachim Neub{\accent127 u}ser and
Charles~R.~B. Wright",
title = "Some remarks on the computation of complements and
normalizers in soluble groups",
journal = "Acta Applicandae Mathematicae",
volume = "21",
pages = "57--76",
year = "1990",
}
Artin groups of finite type are bi-automatic, Charney, R.
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author = "Charney, R.",
title = "Artin groups of finite type are bi-automatic",
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year = "",
volume = "",
pages = "671--683"
}
A Course in Computational Algebraic Number Theory, Henri Cohen
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author = "Henri Cohen",
title = "A Course in Computational Algebraic Number Theory",
series = "Graduate Texts in Mathematics",
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year = "1993",
publisher = "Spinger, Berlin and New York",
}
Calculating Characters of $p$-groups, S[am] B. Conlon
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author = "S[am] B. Conlon",
title = "Calculating Characters of $p$-groups",
journal = "J. Symbolic Computation",
volume = "9",
number = "5 \& 6",
pages = "535--550",
year = "1990",
}
Computing Modular and Projective Character Degrees of Soluble Groups, S[am] B. Conlon
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author = "S[am] B. Conlon",
title = "Computing Modular and Projective Character Degrees
of Soluble Groups",
journal = "J. Symbolic Computation",
volume = "9",
number = "5 \& 6",
pages = "551--570",
year = "1990",
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Atlas of finite groups, J[ohn] H. Conway and R[obert] T. Curtis and S[imon] P. Norton and R[ichard] A. Parker and R[obert] A. Wilson
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author = "J[ohn] H. Conway and
R[obert] T. Curtis and
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R[ichard] A. Parker and
R[obert] A. Wilson",
title = "Atlas of finite groups",
year = "1985",
publisher = "Oxford University Press",
}
Methods of representation theory, vol. I, II, C. W. Curtis and I. Reiner
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title = "Methods of representation theory, vol. {I}, {II}",
publisher = "John Wiley, New York",
year = "1981/1987"
}
Les immeubles des groupes de tresses g\accent19 en\accent19 eralis\accent19 es, Deligne, P.
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author = "Deligne, P.",
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year = "",
volume = "",
pages = "273--302"
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A note on subgroups generated by reflections in Coxeter groups, Deodhar, V.V.
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author = "Deodhar, V.V.",
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year = "",
volume = "",
pages = "543--546"
}
High Speed Computations of Group Characters, J[ohn] D. Dixon
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volume = "10",
pages = "446--450",
year = "1967",
}
A Characterization of Solvable Groups, Andreas [W.~M.] Dress
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author = "Andreas [W.~M.] Dress",
title = "A Characterization of Solvable Groups",
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volume = "110",
pages = "213--217",
year = "1969",
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Coxeter Version 1.0, DuCloux, F.
@Manual{DuC91,
title = "Coxeter Version 1.0",
author = "DuCloux, F.",
organization = "Universit{\accent19 e} de Lyon",
address = "France",
year = 1991
}
Reflection subgroups of Coxeter systems, Dyer, M.
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author = "Dyer, M.",
title = "Reflection subgroups of {C}oxeter systems",
journal = "J. Algebra",
year = "1990",
volume = "",
pages = "57--73",
}
The use of Knuth-Bendix methods to solve the word problem in automatic groups, D.F.~Holt and D.B.A.~Epstein and S.~Rees
@Article{EHR91,
author = "D.F.~Holt and D.B.A.~Epstein and S.~Rees",
title = "The use of Knuth-Bendix methods to solve the word
problem in automatic groups",
journal = "J. Symbolic Computation",
year = "",
volume = "",
pages = "397--414"
}
Computing Maximal Subgroups and Wyckoff Positions of Space Groups,
@Article{EGN97,
author = "Bettina Eick and Franz G{\"a}hler and Werner Nickel",
title = "{C}omputing {M}aximal {S}ubgroups and {W}yckoff
{P}ositions of {S}pace {G}roups",
journal = "Acta Cryst A",
year = 1997
}
Word Processing and Group Theory, D.B.A.~Epstein and J.W.~Cannon and D.F.~Holt and S.~Levy and M.S.~Paterson and W.P.~Thurston
@Book{ECHLPT92,
author = "D.B.A.~Epstein and J.W.~Cannon and D.F.~Holt and
S.~Levy and M.S.~Paterson and W.P.~Thurston",
title = "Word Processing and Group Theory",
publisher = "Jones and Bartlett",
year = 1992
}
The Structure of Certain Coxeter Groups, V[olkmar] Felsch and D[avid] L. Johnson and J[oachim] Neub\accent127 user and S[ergey] V. Tsaranov
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author = "V[olkmar] Felsch and
D[avid] L. Johnson and
J[oachim] Neub{\accent127 u}ser and
S[ergey] V. Tsaranov",
title = "The Structure of Certain {C}oxeter Groups",
crossref = "Groups93Vol1",
pages = "177--190",
}
An Interactive Program for Computing Subgroups, Volkmar Felsch and G\accent127 unter Sandl\accent127 obes
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author = "Volkmar Felsch and
G{\accent127 u}nter Sandl{\accent127 o}bes",
title = "An Interactive Program for Computing Subgroups",
crossref = "Durham82",
pages = "137--143",
keywords = "groups;
subgroup lattice, table of marks;
cyclic extensions;
program description",
reviews = "MR 85k:20003 (from the introduction),
Zbl 547.20016 (E. Kommissartschik)",
}
Recursive computation of tensor power components, J[ames] S. Frame
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author = "J[ames] S. Frame",
title = "Recursive computation of tensor power components",
journal = "Bay\-reu\-ther Math. Schr.",
volume = "10",
pages = "153--159",
year = "1982",
publisher = "Universit{\accent127 a}t Bayreuth",
address = UBayreu-A,
}
The braid groups and other groups, Garside, F. A.
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author = "Garside, F. A.",
title = "The braid groups and other groups",
journal = "Quart. J. Math. Oxford, 2$^{nd}$ Ser",
year = "",
volume = "",
pages = "235--254"
}
On the character values of Iwahori-Hecke algebras of exceptional type, Geck, M.
@Article{Gec94,
author = "Geck, M.",
title = "On the character values of {I}wahori-{H}ecke algebras
of exceptional type",
journal = "Proc.\ London Math. Soc.",
year = "",
volume = "",
pages = "51--76"
}
Beitr\accent127 age zur Darstellungstheorie von Iwahori--Hecke Algebren, M. Geck
@Book{Gec95,
author = "M. Geck",
title = "Beitr{\accent127 a}ge zur {D}arstellungstheorie von
{I}wahori--{H}ecke {A}lgebren",
publisher = "Verlag der Augustinus Buchhandlung, Aachen",
year = "",
volume = "",
series = "Aachener {B}eitr{\accent127 a}ge zur Mathematik"
}
Bases for the Bruhat--Chevalley order on all finite Coxeter groups, M. Geck and S. Kim
@Unpublished{GK96,
author = "M. Geck and S. Kim",
title = "Bases for the {B}ruhat--{C}hevalley order on all finite
{C}oxeter groups",
note = "Preprint",
year = 1996
}
On ``good'' elements in the conjugacy classes of finite Coxeter groups and their eigenvalues on the irreducible representations of Iwahori-Hecke algebras, M. Geck and J. Michel
@Article{GM97,
author = "M. Geck and J. Michel",
title = "On ``good'' elements in the conjugacy classes of
finite {C}oxeter groups and their eigenvalues on the
irreducible representations of {I}wahori-{H}ecke algebras",
journal = "Proc.\ London Math.\ Soc.",
year = "",
note = "to appear"
}
On the irreducible characters of Hecke algebras, M. Geck and G. Pfeiffer
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author = "M. Geck and G. Pfeiffer",
title = "On the irreducible characters of {H}ecke algebras",
journal = "Advances in Math.",
year = "",
volume = "",
pages = "79--94"
}
\sf CHEVIE-A system for computing and processing generic character tables for finite groups of Lie type, M. Geck and G. Hiss and F. L\accent127 ubeck and G. Malle and G. Pfeiffer
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author = "M. Geck and G. Hiss and F. L{\accent127 u}beck and
G. Malle and G. Pfeiffer",
title = "{\sf CHEVIE}-A system for computing and processing generic
character tables for finite groups of Lie type",
journal = "AAECC",
year = "",
volume = "",
pages = "175--210"
}
Computational Approaches to the Theory of Finite Soluble Groups, S[tephan]~P. Glasby
@phdthesis{Gla87,
author = "S[tephan]~P. Glasby",
title = "Computational Approaches to the Theory of Finite Soluble
Groups",
type = "Phd thesis",
year = "1987",
school = "Department of Pure Mathematics,
University of Sydney",
address = USydney-A,
}
Computing Intersections and Normalizers in Soluble Groups, S[tephan]~P. Glasby and M[ichael]~C. Slattery
@article{GS90,
author = "S[tephan]~P. Glasby and
M[ichael]~C. Slattery",
title = "Computing Intersections and Normalizers in Soluble Groups",
journal = "J. Symbolic Computation",
volume = "9",
pages = "637--651",
year = "1990",
}
Concrete Mathematics, Ronald~L. Graham and Donald~E. Knuth and Oren Patashnik
@book{GKP90,
author = "Ronald~L. Graham and
Donald~E. Knuth and
Oren Patashnik",
title = "Concrete Mathematics",
year = "1990",
publisher = "Addison-Wesley",
}
Murnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of classical type, T. Halverson and A. Ram
@Unpublished{HalvRam94,
author = "T. Halverson and A. Ram",
title = "{M}urnaghan-{N}akayama rules for characters of
{I}wahori-{H}ecke algebras of classical type",
note = "Preprint",
year = 1994
}
International Tables for Crystallography, Volume A, Space-group Symmetry, Theo Hahn (Ed)
@book{Hah83,
editor = "Theo Hahn",
title = "International Tables for Crystallography, Volume A,
Space-group Symmetry",
year = "1983",
publisher = "Reidel, Dordrecht, Boston",
}
The Groups of Order $2^n$ ($n \le 6$), Hall, Jr., Marshall and James~K. Senior
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author = "Hall, Jr., Marshall and
James~K. Senior",
title = "The Groups of Order $2^n$ ($n \le 6$)",
year = "1964",
publisher = "The Macmillan Company, New York",
}
Symbolic and Algebraic Calculation, George Havas
@techreport{Hav69,
author = "George Havas",
title = "Symbolic and Algebraic Calculation",
type = "Basser Computing Dept., Technical Report",
number = "89",
year = "1969",
institution = "Basser Department of Computer Science,
University of Sydney",
address = USydney-A,
keywords = "finitely presented groups;
simplification;
Tietze transformations",
}
A Reidemeister-Schreier Program, George Havas
@inproceedings{Hav74b,
author = "George Havas",
title = "A {R}eidemeister-{S}chreier Program",
crossref = "Canberra73",
pages = "347--356",
keywords = "finitely presented groups;
subgroup presentation;
Reidemeister Schreier (rs);
program description",
reviews = "MR 51 # 13002 (F. Levin),
Zbl 288.20047 (Summary)",
}
Application of Computers to Questions like those of Burnside, George Havas and M[ichael]~F. Newman
@inproceedings{HN80,
author = "George Havas and
M[ichael]~F. Newman",
title = "Application of Computers to Questions like those of
{Burnside}",
crossref = "Bielefeld77",
pages = "211--230",
keywords = "finitely presentend groups;
Burnside groups;
nilpotent quotient",
reviews = "MR 82d:20002 (Colin M. Campbell),
Zbl 432.20033 (J. Neub{\accent127 u}ser)",
}
A Tietze Transformation Program, George Havas and P[eter]~E. Kenne and J[ames]~S. Richardson and E[dmund]~F. Robertson
@inproceedings{HKRR84,
author = "George Havas and
P[eter]~E. Kenne and
J[ames]~S. Richardson and
E[dmund]~F. Robertson",
title = "A {T}ietze Transformation Program",
crossref = "Durham82",
pages = "67--71",
keywords = "finitely presented groups;
simplification;
Tietze transformations",
reviews = "MR 86b:20039 (introduction),
Zbl 569.20002 (G. Butler)",
}
On the M\accent127 obius Function of a Finite Group, Trevor [O.] Hawkes and I. M[artin] Isaacs and M. \accent127 Ozaydin
@article{HIO89,
author = "Trevor [O.] Hawkes and
I. M[artin] Isaacs and
M. {\accent127 O}zaydin",
title = "On the {M\accent127 o}bius Function of a Finite Group",
journal = "Rocky Mountain J. Math.",
volume = "19",
pages = "1003--1034",
year = "1989",
}
The Warwick Automatic Groups Software, Derek~F.~Holt
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author = "Derek~F.~Holt",
title = "The Warwick Automatic Groups Software",
booktitle = "Proceedings of DIMACS Conference on Computational
Group Theory, Rutgers, March 1994.",
year = "To appear"
}
Computing Matrix Group Decompositions with respect to a Normal Subgroup, Derek [F.] Holt and Charles [R.] Leedham-Green and E[amonn]~A. O\accent19Brien and Sarah Rees
@article{HLOR96a,
author = "Derek [F.] Holt and
Charles [R.] Leedham-Green and
E[amonn]~A. O{\accent19{}B}rien and
Sarah Rees",
title = "Computing Matrix Group Decompositions with respect to
a Normal Subgroup",
journal = "J. Algebra",
volume = "",
year = "1996",
pages = "818--838",
}
Testing Matrix Groups for Primitivity, Derek [F.] Holt and Charles [R.] Leedham-Green and E[amonn]~A. O\accent19Brien and Sarah Rees
@article{HLOR96b,
author = "Derek [F.] Holt and
Charles [R.] Leedham-Green and
E[amonn]~A. O{\accent19{}B}rien and
Sarah Rees",
title = "Testing Matrix Groups for Primitivity",
journal = "J. Algebra",
volume = "",
year = "1996",
pages = "795--817",
}
Perfect Groups, Derek F. Holt and W[ilhelm] Plesken
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author = "Derek F. Holt and
W[ilhelm] Plesken",
title = "Perfect Groups",
series = "Oxford Math. Monographs",
year = "1989",
publisher = "Clarendon, Oxford",
}
Testing modules for irreducibility, Derek [F.] Holt and Sarah Rees
@article{HR94,
author = "Derek [F.] Holt and
Sarah Rees",
title = "Testing modules for irreducibility",
journal = "J. Austral. Math. Soc. Ser. A",
volume = "57",
pages = "1--16",
year = "1994",
}
Reflections groups and Coxeter groups, J. E. Humphreys
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author = "J. E. Humphreys",
title = "Reflections groups and {C}oxeter groups",
publisher = "Cambridge University Press",
year = "",
volume = "",
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}
Endliche Gruppen I, B[ertram] Huppert
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author = "B[ertram] Huppert",
title = "Endliche {Gruppen} {I}",
series = "Grundlehren Math. Wiss.",
volume = "134",
year = "1967",
publisher = "Springer, Berlin",
}
An Atlas of Brauer Characters, Christoph Jansen and Klaus Lux and Richard [A.] Parker and Robert [A.] Wilson
@book{JLPW95,
author = "Christoph Jansen and
Klaus Lux and
Richard [A.] Parker and
Robert [A.] Wilson",
title = "An Atlas of {Brauer} Characters",
series = "London Math. Soc. Monographs",
volume = "11",
year = "1995",
publisher = "Clarendon, Oxford",
notes = "PAGES: xvii + 327",
}
Representations of Coxeter groups and Hecke algebras, D. A. Kazhdan and G. Lusztig
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author = "D. A. Kazhdan and G. Lusztig",
title = "Representations of {C}oxeter groups and {H}ecke algebras",
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volume = "",
year = "",
pages = "165--184",
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Algebraic Combinatorics Via Finite Group Actions, Adalbert Kerber
@book{Ker91,
author = "Adalbert Kerber",
title = "Algebraic Combinatorics Via Finite Group Actions",
year = "1991",
publisher = "BI-Wis\-sen\-schafts\-ver\-lag, Mannheim",
notes = "PAGES: 436",
}
Zur Konstruktion und Klassifikation endlicher aufl\accent127 osbarer Gruppen, Reinhard Laue
@book{Lau82,
author = "Reinhard Laue",
title = "Zur {Konstruktion} und {Klassifikation} endlicher
aufl{\accent127 o}sbarer {Gruppen}",
series = "Bay\-reu\-ther Math. Schr.",
volume = "9",
year = "1982",
publisher = "Universit{\accent127 a}t Bayreuth",
address = UBayreu-A,
keywords = "polycyclic groups;;;
classification",
reviews = "MR 84e:20018 (T.~O. Hawkes),
Zbl 479.20010 (H. Heineken)",
notes = "PAGES: ii + 304, 1 correction sheet,
Earlier version: Habilitationsschrift, RWTH Aachen, 1980",
}
Algorithms for finite soluble groups and the SOGOS system, R[einhard] Laue and J[oachim] Neub\accent127 user and U[lrich] Schoenwaelder
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author = "R[einhard] Laue and
J[oachim] Neub{\accent127 u}ser and
U[lrich] Schoenwaelder",
title = "Algorithms for finite soluble groups and the {SOGOS} system",
crossref = "Durham82",
pages = "105--135",
keywords = "polycyclic groups;;;
algorithm description",
reviews = "MR 86h:20023 (Gerhard Pazderski),
Zbl 547:20012 (E. Kommissartschik)",
}
Canonical Forms in Finitely Presented Algebras, P.~LeChenadec
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author = "P.~LeChenadec",
title = "Canonical Forms in Finitely Presented Algebras",
publisher = "London Pitman and New York, Wiley",
year = 1986
}
Collection from the left and other strategies, C[harles] R. Leedham-Green and L[eonard] H. Soicher
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author = "C[harles] R. Leedham-Green and
L[eonard] H. Soicher",
title = "Collection from the left and other strategies",
journal = "J. Symbolic Computation",
volume = "9",
number = "5 \& 6",
pages = "665--675",
year = "1990",
}
Factoring Polynomials with rational coefficients, A.~K.~Lenstra and H.~W.~Lenstra and L.~Lov\accent19 asz
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author = "A.~K.~Lenstra and
H.~W.~Lenstra and
L.~Lov{\accent19 a}sz",
title = "Factoring Polynomials with rational coefficients",
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volume = "261",
pages = "513--534",
year = "1982",
}
On an algorithm for finding a base and a strong generating set for a group given by generating permutations, Jeffrey S. Leon
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author = "Jeffrey S. Leon",
title = "On an algorithm for finding a base and a strong generating
set for a group given by generating permutations",
journal = "Math. Comput.",
volume = "35",
pages = "941--974",
year = "1980",
keywords = "permutation groups;
stabilizer chain, base and strong generating set of;
Schreier Sims, Todd Coxeter (tc)",
reviews = "MR 82i:20004 (Colin M. Campbell),
Zbl 444.20001 (J. Neub{\accent127 u}ser)",
}
Vector Enumeration Programs, version 3, Steve Linton
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author = "Steve Linton",
title = "Vector Enumeration Programs,
version 3",
year = "1993",
}
A Polycyclic Quotient Algorithm, E. Lo
@PhDThesis{Lo,
Author = "E. Lo",
Title = "A Polycyclic Quotient Algorithm",
School = "Rutgers University",
Year = {1996}
}
On a Theorem of Benson and Curtis, G. Lusztig
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author = "G. Lusztig",
title = "On a Theorem of {B}enson and {C}urtis",
journal = "J. Algebra",
year = "",
volume = "",
pages = "490--498"
}
Characters of reductive groups over a finite field, G. Lusztig
@Book{Lus85,
author = "G. Lusztig",
title = "Characters of reductive groups over a finite field",
publisher = "Princeton {U}niversity {P}ress",
year = "",
volume = "",
series = "Annals of Math.\ Studies"
}
Computational aspects of representation theory of finite groups, Klaus Lux and Herbert Pahlings
@inproceedings{LP91,
author = "Klaus Lux and
Herbert Pahlings",
title = "Computational aspects of representation theory of finite
groups",
crossref = "MR91",
pages = "37--64"
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Degr\accent19 es relatifs des alg\accent18 ebres cyclotomiques associ\accent19 ees aux groupes de r\accent19 eflexions complexes de dimension deux, G. Malle
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author = "G. Malle",
title = "{D}egr{\accent19 e}s relatifs des alg{\accent18 e}bres
cyclotomiques associ{\accent19 e}es aux groupes de
r{\accent19 e}flexions complexes de dimension deux",
crossref = "Luminy94"
}
Computing Galois groups over the Rationals, John McKay and Leonard~H. Soicher
@article{MS85,
author = "John McKay and
Leonard~H. Soicher",
title = "Computing {G}alois groups over the Rationals",
journal = "J. Number Theory",
volume = "20",
year = "1985",
pages = "273--281",
}
An algorithm for determining defining relations of a subgroup, D.~H.~McLain
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author = "D.~H.~McLain",
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volume = "18",
pages = "51--56",
year = "1977",
keywords = "finitely presented groups;
subgroup presentation;
modified Todd Coxeter (mtc);
algorithm description",
reviews = "MR 54 # 12908 (N.~S. Mendelsohn),
Zbl 348.20029 (Summary)",
}
Untergruppenverb\accent127 ande und aufl\accent127 osbare Gruppen in GAP, J\accent127 urgen Mnich
@mastersthesis{Mni92,
author = "J{\accent127 u}rgen Mnich",
title = "Untergruppenverb{\accent127 a}nde und
aufl{\accent127 o}sbare {G}ruppen in {GAP}",
type = "Diplom\-ar\-beit",
year = "1992",
school = "Lehrstuhl D f{\accent127 u}r Mathematik,
Rheinisch Westf{\accent127 a}lische Technische
Hoch\-schule",
address = RWTH-A,
keywords = "groups;
subgroup lattice, table of marks;
cyclic extensions;
algorithm description",
}
Modular Multiplication Without Trial Division, Peter L. Montgomery
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author = "Peter L. Montgomery",
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volume = "44",
pages = "519--521",
year = "1985",
}
The Orthogonal and Symplectic Groups, F[rancis] D. Murnaghan
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author = "F[rancis] D. Murnaghan",
title = "The Orthogonal and Symplectic Groups",
type = "Communications Series A",
number = "13",
year = "1958",
institution = "Dublin Inst. Adv. Studies",
}
nauty user's guide (version 1.5), Technical report TR-CS-90-02, B.D. McKay
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author = "B.D. McKay",
title = "{nauty} user's guide (version 1.5),
Technical report TR-CS-90-02",
year = "1990",
organization = "Australian National University",
address = "Computer Science Department, ANU"
}
Endliche rationale Matrixgruppen vom Grad 24, Gabriele Nebe
@book{Neb95,
author = "Gabriele Nebe",
title = "Endliche rationale {M}atrixgruppen vom {G}rad 24",
series = "Aachener Beitr{\accent127 a}ge zur Mathematik",
volume = "12",
year = "1995",
note = "Dissertation, Lehrstuhl B f{\accent127 u}r Mathematik,
Rheinisch Westf{\accent127 a}lische Technische
Hoch\-schule, Aachen, Germany, 1995",
}
Die Untergruppenverb\accent127 ande der Gruppen der Ordnungen $\leq 100$ mit Ausnahme der Ordnungen 64 und 96, Joachim Neub\accent127 user
@phdthesis{Neu67,
author = "Joachim Neub{\accent127 u}ser",
title = "Die {U}ntergruppenverb{\accent127 a}nde der {Gruppen} der
{Ordnungen} $\leq 100$ mit {Ausnahme} der {Ordnungen}
64 und 96",
type = "Habilitationsschrift",
year = "1967",
school = "Universit{\accent127 a}t Kiel",
address = UKiel-A,
notes = "PAGES: 370",
}
An elementary introduction to coset table methods in computational group theory, Joachim Neub\accent127 user
@inproceedings{Neu82,
author = "Joachim Neub{\accent127 u}ser",
title = "An elementary introduction to coset table methods in
computational group theory",
crossref = "GrpsStAndrews81",
pages = "1--45",
keywords = "finitely presented groups;
subgroup presentation, permutation representation,
low index subgroups;
Todd Coxeter (tc), modified Todd Coxeter (mtc);
algorithm description, survey",
reviews = "MR 84f:20004 (George Havas),
Zbl 489.20003 (G. Butler)",
}
Finite rational matrix groups of degree 16, G[abriele] Nebe and W[ilhelm] Plesken
@inbook{NP95,
author = "G[abriele] Nebe and
W[ilhelm] Plesken",
title = "Finite rational matrix groups of degree 16",
crossref = "NPbook95",
pages = "74--144",
}
Finite rational matrix groups, G[abriele] Nebe and W[ilhelm] Plesken
@book{NPbook95,
author = "G[abriele] Nebe and
W[ilhelm] Plesken",
title = "Finite rational matrix groups",
series = "AMS Memoirs",
volume = "556",
year = "1995",
publisher = "American Mathematical Society",
notes = "PAGES: 144",
}
CAS; Design and use of a system for the handling of characters of finite groups, J[oachim] Neub\accent127 user and H[erbert] Pahlings and W[ilhelm] Plesken
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author = "J[oachim] Neub{\accent127 u}ser and
H[erbert] Pahlings and
W[ilhelm] Plesken",
title = "{CAS};
Design and use of a system for the handling of
characters of finite groups",
crossref = "Durham82",
pages = "195--247",
keywords = "ordinary representations;
characters",
reviews = "MR 86i:20004 (D. Hales),
Zbl 546.20001 (G. Butler)",
}
An emendatory discursion on defining crystal systems, J[oachim] Neub\accent127 user and W[ilhelm] Plesken and H[ans] Wondratschek
@article{NPW81,
author = "J[oachim] Neub{\accent127 u}ser and
W[ilhelm] Plesken and
H[ans] Wondratschek",
title = "An emendatory discursion on defining crystal systems",
journal = "Match",
volume = "10",
pages = "77--96",
year = "1981",
reviews = "Zbl 551.20033 (Author)",
}
Determination of groups of prime-power order, M[ichael]~F. Newman
@inproceedings{New77,
author = "M[ichael]~F. Newman",
title = "Determination of groups of prime-power order",
crossref = "Canberra75",
pages = "73--84",
keywords = "finitely presented groups, p-groups;; nilpotent quotient;
application",
reviews = "MR 56 # 12115 (Bruce W. King),
Zbl no ref",
}
A CAYLEY library for the groups of order dividing 128, M[ichael]~F. Newman and E[amonn]~A. O\accent19Brien
@inproceedings{NO89,
author = "M[ichael]~F. Newman and
E[amonn]~A. O{\accent19{}B}rien",
title = "A {CAYLEY} library for the groups of order dividing 128",
crossref = "Singapore87",
pages = "437--442"
}
The $p$-group generation algorithm, E[amonn]~A. O\accent19Brien
@article{OBr90,
author = "E[amonn]~A. O{\accent19{}B}rien",
title = "The $p$-group generation algorithm",
journal = "J. Symbolic Computation",
volume = "9",
pages = "677--698",
year = "1990",
}
The groups of order $256$, E[amonn]~A. O\accent19Brien
@article{OBr91,
author = "E[amonn]~A. O{\accent19{}B}rien",
title = "The groups of order $256$",
journal = "J. Algebra",
volume = "142",
year = "1991",
}
Isomorphism testing for $p$-groups, E[amonn]~A. O\accent19Brien
@article{OBr94,
author = "E[amonn]~A. O{\accent19{}B}rien",
title = "Isomorphism testing for $p$-groups",
journal = "J. Symbolic Computation",
volume = "17 (1)",
year = "1994",
pages = "133--147",
}
Computing automorphism groups of $p$-groups, E[amonn]~A. O\accent19Brien
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author = "E[amonn]~A. O{\accent19{}B}rien",
title = {Computing automorphism groups of $p$-groups},
booktitle = {Computational Algebra Number and Number Theory},
organization = {(Sydney, 1992)},
year = "",
pages = {83--90},
editor = {Wieb Bosma and Alf van der Poorten},
publisher = {Kluwer Academic Publishers, Dordrecht}
}
Application of computers to questions like those of Burnside, II, M[ichael] F. Newman and E[amonn]~A. O\accent19Brien
@article{NO96,
author = "M[ichael] F. Newman and E[amonn]~A. O{\accent19{}B}rien",
title = "Application of computers to questions like those of {B}urnside, {II}",
journal = {Internat.\ J.\ Algebra Comput.},
volume = "6",
pages = "593--605",
year = "1996",
}
Charaktertafeln von Sylownormalisatoren sporadischer einfacher Gruppen, Th[omas] Ostermann
@techreport{Ost86,
author = "Th[omas] Ostermann",
title = "{C}haraktertafeln von {S}ylownormalisatoren sporadischer
einfacher {G}ruppen",
type = "Vorlesungen aus dem Fachbereich Mathematik",
number = "14",
year = "1986",
institution = "Universit{\accent127 a}t Essen",
address = UEssen-A,
}
On the M\accent127 obius Function of a Finite Group, Herbert Pahlings
@article{Pah93,
author = "Herbert Pahlings",
title = "On the {M\accent127 o}bius Function of a Finite Group",
journal = "Arch. Math.",
volume = "60",
pages = "7--14",
year = "1993",
}
Character tables of Weyl groups in \sf GAP, G. Pfeiffer
@Article{Pfe94a,
author = "G. Pfeiffer",
title = "Character tables of {W}eyl groups in {\sf GAP}",
journal = "Bayreuther Math. Schr.",
year = "",
volume = "",
pages = "165--222"
}
Young characters on Coxeter basis elements of Iwahori-Hecke algebras and a Murnaghan-Nakayama formula, G. Pfeiffer
@Article{Pfe94b,
author = "G. Pfeiffer",
title = "Young characters on {Coxeter} basis elements of
{Iwahori}-{Hecke} algebras and a {Murnaghan}-{Nakayama}
formula",
journal = "J. Algebra",
year = "",
pages = "525--535",
volume = "",
}
Character values of Iwahori-Hecke algebras of type B, G. Pfeiffer
@inProceedings{Pfe96,
author = "G. Pfeiffer",
title = "Character values of {I}wahori-{H}ecke algebras of type {B}",
crossref = "Luminy94",
}
Near-Rings, G\accent127unter Pilz
@book{Pil83,
author = "G{\accent127u}nter Pilz",
title = "Near-Rings",
series = "North-Holland Mathematics Studies",
volume = "23",
year = "1983",
publisher = "North-Holland Publishing Company",
}
Finite Unimodular Groups of Prime Degree and Circulants, W[ilhelm] Plesken
@article{Ple85,
author = "W[ilhelm] Plesken",
title = "Finite Unimodular Groups of Prime Degree and Circulants",
journal = "J. Algebra",
volume = "97",
pages = "286--312",
year = "1985",
}
Additive Decompositions of Positive Integral Quadratic Forms, W[ilhelm] Plesken
@unpublished{Ple90,
author = "W[ilhelm] Plesken",
title = "Additive Decompositions of Positive Integral Quadratic
Forms",
note = "The paper is available at
Lehrstuhl B f{\accent127 u}r Mathematik,
Rheinisch Westf{\accent127 a}lische Technische
Hoch\-schule Aachen,
may be it will be published in the near future",
year = "1990",
}
Finite rational matrix groups, W[ilhelm] Plesken and G[abriele] Nebe
@inbook{PN95,
author = "W[ilhelm] Plesken and
G[abriele] Nebe",
title = "Finite rational matrix groups",
crossref = "NPbook95",
pages = "1--73",
}
On maximal finite irreducible Subgroups of GL(n,Z). I. The five and seven dimensional cases, II. The six dimensional case, Wilhelm Plesken and Michael Pohst
@article{PP77,
author = "Wilhelm Plesken and
Michael Pohst",
title = "On maximal finite irreducible Subgroups of GL(n,Z).
{I}. The five and seven dimensional cases,
{II}. The six dimensional case",
journal = "Math. Comput.",
volume = "31",
pages = "536--576",
year = "1977",
reviews = "MR 56 # 3137a, 3137b (Wolfgang Knapp),
Zbl 359.20006, 359.20007 (authors)",
}
On maximal finite irreducible Subgroups of GL(n,Z). III. The nine dimensional case, IV. Remarks on even dimensions with application to n = 8, V. The eight dimensional case and a complete description of dimensions less than ten, Wilhelm Plesken and Michael Pohst
@article{PP80,
author = "Wilhelm Plesken and
Michael Pohst",
title = "On maximal finite irreducible Subgroups of GL(n,Z).
{III}. The nine dimensional case,
{IV}. Remarks on even dimensions with application to n = "",
{V}. The eight dimensional case and a complete description
of dimensions less than ten",
journal = "Math. Comput.",
volume = "34",
pages = "245--301",
year = "1980",
reviews = "MR 81b:20012a, 81b:20012b, 81b:20012c (Wolfgang Knapp),
Zbl 431.20039, 431.20040, 431.20041 (authors)",
}
A modification of the LLL reduction algorithm, M[ichael] Pohst
@article{Poh87,
author = "M[ichael] Pohst",
title = "A modification of the LLL reduction algorithm",
journal = "J. Symbolic Computation",
volume = "4",
pages = "123--127",
year = "1987",
}
A Frobenius formula for the characters of the Hecke algebras, A. Ram
@Article{Ram91,
author = "A. Ram",
title = "A {F}robenius formula for the characters of the {H}ecke
algebras",
journal = "Invent. Math.",
year = "",
volume = "",
pages = "461--488"
}
The C MeatAxe, Release 1.5, Michael Ringe
@manual{Rin93,
author = "Michael Ringe",
title = "The {C} {M}eat{A}xe,
Release 1.5",
year = "1993",
organization = "Lehrstuhl D f{\accent127 u}r Mathematik,
Rheinisch Westf{\accent127 a}lische Technische
Hoch\-schule",
address = RWTH-A,
}
Tietze transformations with weighted substring search, E[dmund]~F. Robertson
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author = "E[dmund]~F. Robertson",
title = "{T}ietze transformations with weighted substring search",
journal = "J. Symbolic Computation",
volume = "6",
pages = "59--64",
year = "1988",
keywords = "finitely presented groups;
simplification;
Tietze transformations",
}
The transitive groups of degree twelve, Gordon F. Royle
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author = "Gordon F. Royle",
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journal = "J. Symbolic Computation",
volumn = "4",
year = "1987",
pages = "255--268"
}
Dixon's Character Table Algorithm Revisited, Gerhard J.~A.~Schneider
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author = "Gerhard J.~A.~Schneider",
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year = "1990",
}
Finite unitary reflection groups, G. C. Shephard and J. A. Todd
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author = "G. C. Shephard and J. A. Todd",
title = "Finite unitary reflection groups",
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year = "",
volume = "",
pages = "274--304"
}
The Primitive Soluble Permutation Groups of Degree less than 256, Mark W. Short
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author = "Mark W. Short",
title = "The Primitive Soluble Permutation Groups of Degree less
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series = "Lecture Notes in Math.",
volume = "1519",
year = "1992",
publisher = "Springer, Berlin and Heidelberg",
}
Computational methods in the study of permutation groups, Charles C. Sims
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author = "Charles C. Sims",
title = "Computational methods in the study of permutation groups",
crossref = "Oxford67",
pages = "169--183",
keywords = "permutation groups;
primitive groups, classification of, stabilizer chain;
Schreier Sims",
reviews = "MR 41 # 1856 (H. Kimura),
Zbl 215, 100 (J. McKay),
CR 11 # 19,829 (G.~N. Raney)",
notes = "RUSSIAN translation in:
Computations in algebra and number theory (Russian), edited
by B.~B. Venkov and D.~K. Faddeev, pp. 129--147,
Matematika, Novoie v Zarubeznoi Naukie, vol. 2,
Izdat. MIR, Moscow, 1976",
}
Computation with Finitely Presented Groups, C.C. Sims
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Author = "C.C. Sims",
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Publisher = {Cambridge University Press},
Year = {1994}
}
SOGOS - A Program System for Handling Subgroups of Finite Soluble Groups, version 5.0, User's reference manual,
@manual{Sog89,
title = "{SOGOS} - A Program System for Handling Subgroups of
Finite Soluble Groups, version 5.0, User's reference manual",
year = "1989",
organization = "Lehrstuhl D f{\accent127 u}r Mathematik,
Rheinisch Westf{\accent127 a}lische Technische
Hoch\-schule",
address = RWTH-A,
keywords = "groups, finitely presented groups, polycyclic groups,
nilpotent groups, p-groups;
SOGOS, pc-presentation, ag-presentation, collection,
elements, classes of conjugate elements,
centralizer, normalizer, normal closure, intersection,
sylow subgroups, derived subgroup, series,
central series, p-central series, subgroup lattice,
table of marks, complements, factor groups;
nilpotent quotient (nq);
manual",
}
GRAPE: a system for computing with graphs and groups, L[eonard] H. Soicher
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author = "L[eonard] H. Soicher",
title = "{GRAPE}: a system for computing with graphs and groups",
crossref = "DIMACS",
pages = "287-291",
}
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author = "Bernd Souvignier",
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volume = "63",
pages = "335--350",
year = "1994",
}
SPAS - Subgroup Presentation Algorithms System, version 2.5, User's reference manual,
@manual{Spa89,
title = "{SPAS} - {S}ubgroup {P}resentation {A}lgorithms {S}ystem,
version 2.5, User's reference manual",
year = "1989",
organization = "Lehrstuhl D f{\accent127 u}r Mathematik,
Rheinisch Westf{\accent127 a}lische Technische
Hoch\-schule",
address = RWTH-A,
keywords = "finitely presented groups;
SPAS, subgroup presentation, simplification,
low index subgroups;
Todd Coxeter (tc), modified Todd Coxeter (mtc),
Reidemeister Schreier (rs),
reduced Reidemeister Schreier (rrs),
Tietze transformations, tree decoding;
manual",
}
Linear algebraic groups, Springer, T. A.
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author = "Springer, T. A.",
title = "Linear algebraic groups",
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year = 1981
}
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author = "Stembridge, J. R.",
title = "On the eigenvalues of representations of reflection groups
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year = "",
volume = "",
pages = "353--396"
}
SOGOS III - Charaktere und Effizienzuntersuchung, Peter Thiemann
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author = "Peter Thiemann",
title = "{SOGOS} {III} - {C}haraktere und {E}ffizienzuntersuchung",
type = "Diplom\-arbeit",
year = "1987",
school = "Lehrstuhl D f{\accent127 u}r Mathematik,
Rheinisch Westf{\accent127 a}lische Technische
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address = RWTH-A,
}
An Aspect of the Nilpotent Quotient Algorithm, M[ichael] R. Vaughan-Lee
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author = "M[ichael] R. Vaughan-Lee",
title = "An Aspect of the Nilpotent Quotient Algorithm",
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pages = "75--84",
}
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author = "M[ichael] R. Vaughan-Lee",
title = "The restricted {Burnside} problem",
series = "London Math. Soc. Monographs",
volume = "5",
year = "1990",
publisher = "Clarendon, Oxford",
}
Collection from the Left, M[ichael] R. Vaughan-Lee
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author = "M[ichael] R. Vaughan-Lee",
title = "Collection from the Left",
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pages = "725--733",
year = "1990",
publisher = "Academic Press",
}
On symplectic primitive modules and monomial groups, Robert W. van der Waall
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author = "Robert W. van der Waall",
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author = "Hans Wondratschek",
title = "Introduction to space-group symmetry",
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pages = "711--735"
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\sc SISYPHOS Computing in modular group algebras, Version 0.5, Martin Wursthorn
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author = "Martin Wursthorn",
title = "{\sc SISYPHOS} Computing in modular group algebras,
Version 0.5",
year = "1993",
organization = "Math. Inst. B, 3. Lehrstuhl",
address = "Universit{\accent127 a}t Stuttgart",
}
Grundlagen einer Arithmetik in Kreisteilungsk\accent127 orpern und ihre Implementation in CAS, Matthias Zumbroich
@mastersthesis{Zum89,
author = "Matthias Zumbroich",
title = "{Grundlagen} einer {Arithmetik} in
{Kreisteilungsk{\accent127 o}rpern} und ihre
{Implementation} in {CAS}",
type = "Dimplomarbeit",
year = "1989",
school = "Lehrstuhl D f{\accent127 u}r Mathematik,
Rheinisch Westf{\accent127 a}lische Technische
Hoch\-schule",
address = RWTH-A,
}
Computational Problems in Abstract Algebra, Oxford, 1967, John Leech (Ed)
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title = "Computational Problems in Abstract Algebra, Oxford, 1967",
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year = "1970",
publisher = "Pergamon Press, Oxford",
reviews = "MR 40#5374,
Zbl 186.299",
}
Second International Conference on the Theory of Groups, Canberra, 1973, M[ichael]~F. Newman (Ed)
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title = "Second International Conference on the Theory of Groups,
Canberra, 1973",
booktitle = "Proceedings of the Second International Conference on the
Theory of Groups, Canberra, 1973",
series = "Lecture Notes in Math.",
volume = "372",
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publisher = "Springer, Berlin",
reviews = "MR 49#9054,
Zbl 282.00012",
}
Group theory, Canberra, 1975, R.~A. Bryce and J. Cossey and M[ichael]~F. Newman (Eds)
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title = "Group theory, Canberra, 1975",
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series = "Lecture Notes in Math.",
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reviews = "MR 55#3040,
Zbl 342.00008",
}
Burnside groups, Bielefeld, 1977, J[ens] L. Mennicke (Ed)
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title = "Burnside groups, Bielefeld, 1977",
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Groups-St.\,Andrews 1981, Proceedings of a conference, St.\,Andrews 1981, Colin M. Campbell and Edmund F. Robertson (Eds)
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title = "Groups-St.\,Andrews 1981,
Proceedings of a conference,
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Computational Group Theory, Proceedings LMS Symposium on Computational Group Theory, Durham 1982, Michael D. Atkinson (Ed)
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title = "Computational Group Theory,
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Durham 1982",
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editor = "Michael D. Atkinson",
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publisher = "Academic Press",
}
Group Theory, Proceedings of the 1987 Singapore Conference, Singapore 1987,
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title = "Group Theory,
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Singapore 1987",
booktitle = "Group Theory,
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Singapore 1987",
year = "1989",
publisher = "Walter de Gruyter, Berlin, New York",
}
Representation theory of finite groups and finite--dimensional algebras, G.~O. Michler and C.~R. Ringel (Eds)
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title = "Representation theory of finite groups and
finite--dimensional algebras",
booktitle = "Representation theory of finite groups and
finite--dimensional algebras",
editor = "G.~O. Michler and
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series = "Progress in Mathematics",
volume = "95",
year = "1991",
publisher = "Birkh{\accent127 a}user, Basel",
}
Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation (ISSAC'91), Bonn 1991,
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title = "Proceedings of the 1991 International Symposium
on Symbolic and Algebraic Computation (ISSAC'91),
Bonn 1991",
booktitle = "Proceedings of the International Symposium
on Symbolic and Algebraic Computation (ISSAC'91),
Bonn 1991",
year = "1991",
publisher = "ACM Press",
}
, L. Finkelstein and B. Kantor (Eds)
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booktitle = "Proceedings of the 1991 DIMACS Workshop on
Groups and Computation",
editor = "L. Finkelstein and
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Theoretical Computer Science",
volume = "11",
year = "1993",
publisher = "American Mathematical Society",
}
Groups '93 Galway / St.\,Andrews, Galway 1993, Volume 1, C[olin] M. Campbell and T[haddeus] C. Hurley and E[dmund] F. Robertson and S[ean] J. Tobin and J[ames] J. Ward (Eds)
@proceedings{Groups93Vol1,
title = "Groups '93 Galway / St.\,Andrews, Galway 1993, Volume 1",
booktitle = "Groups '93 Galway / St.\,Andrews, Galway 1993, Volume 1",
series = "London Math. Soc. Lecture Note Series",
volume = "211",
editor = "C[olin] M. Campbell and
T[haddeus] C. Hurley and
E[dmund] F. Robertson and
S[ean] J. Tobin and
J[ames] J. Ward",
year = "1995",
publisher = "Cambridge University Press",
notes = "PAGES: xii + 304",
}
Groups '93 Galway / St.\,Andrews, Galway 1993, Volume 2, C[olin] M. Campbell and T[haddeus] C. Hurley and E[dmund] F. Robertson and S[ean] J. Tobin and J[ames] J. Ward (Eds)
@proceedings{Groups93Vol2,
title = "Groups '93 Galway / St.\,Andrews, Galway 1993, Volume 2",
booktitle = "Groups '93 Galway / St.\,Andrews, Galway 1993, Volume 2",
series = "London Math. Soc. Lecture Note Series",
volume = "212",
editor = "C[olin] M. Campbell and
T[haddeus] C. Hurley and
E[dmund] F. Robertson and
S[ean] J. Tobin and
J[ames] J. Ward",
year = "1995",
publisher = "Cambridge University Press",
notes = "PAGES: xii + 305",
}
Finite Reductive Groups, Related Structures and Representations, Marc Cabanes (Ed)
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title = "Finite Reductive Groups, Related Structures and
Representations",
booktitle = "Finite Reductive Groups, Related Structures and
Representations",
year = "",
editor = "Marc Cabanes",
volume = "",
series = "Progress in Mathematics",
publisher = Birkhaeus
}
International Tables for Crystallography, Volume A, Space-group Symmetry, Theo Hahn, editor
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author = "Theo Hahn, editor",
title = "International Tables for Crystallography, Volume A,
Space-group Symmetry",
publisher = "Kluwer, Dordrecht",
year = "",
edition = "4th"
}
Enumeration of cat1-groups of low order, M. Alp and C.~D. Wensley
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author = "M. Alp and C.~D. Wensley",
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year = "1997"
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Crossed modules and analogues of group theorems, K.~J. Norrie
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author = "R. Brown and P.~J. Higgins",
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author = "R. Brown and C.~D. Wensley",
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volume = "1",
pages = "54--71",
year = "1995",
}
@article{xmodBW2,
author = "R. Brown and C.~D. Wensley",
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journal = "Theory and Applications of Categories",
volume = "2",
pages = "3--16",
year = "1996",
}
@phdthesis{xmodE1,
author = "G. Ellis",
title = "Crossed modules and their higher dimensional analogues",
school = "University of Wales, Bangor",
year = "1984",
}
@article{xmodG1,
author = "N.~D. Gilbert",
title = "Derivations, automorphisms and crossed modules",
journal = "Comm. in Algebra",
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pages = "2703--2734",
year = "1990",
}
@article{xmodL1,
author = "J.~L. Loday",
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journal = "J. App. Algebra",
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pages = "179--202",
year = "1982",
}
@phdthesis{xmodN2,
author = "K.~J. Norrie",
title = "Crossed modules and analogues of group theorems",
school = "King's College, University of London",
year = "1987",
}
On operators in relative homotopy groups, J.~H.~C. Whitehead
@article{xmodN1,
author = "K.~J. Norrie",
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journal = "Bull. Soc. Math. France",
volume = "118",
pages = "129-146",
year = "1990",
}
@article{xmodW2,
author = "J.~H.~C. Whitehead",
title = "On operators in relative homotopy groups",
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volume = "49",
pages = "610--640",
year = "1948",
}
Combinatorial Homotopy II, J.~H.~C. Whitehead
@article{xmodW1,
author = "J.~H.~C. Whitehead",
title = "Combinatorial Homotopy II",
journal = "Bull. Amer. Math. Soc.",
volume = "55",
pages = "453--496",
year = "1949",
}
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