Permutation Representations of Sporadic Groups -- Bibliography

GAP Package mfer

Permutation Representations of Sporadic Groups — Bibliography

Bibliography in "Low Rank Representations and Graphs for Sporadic Groups" (pp. 134–138)
Bibliography in "On endomorphism rings and character tables"
Bibliography in "On the multiplicity-free actions of the sporadic simple groups"
Cross-referenced Collections

Bibliography in "Low Rank Representations and Graphs for Sporadic Groups" (pp. 134–138)

Bibliography in "On endomorphism rings and character tables"

Bibliography in "On the multiplicity-free actions of the sporadic simple groups"

"Low Rank Representations and Graphs for Sporadic Groups" (pp. 134–138)

[Asc94] Aschbacher, M., Sporadic groups, Cambridge University Press, Cambridge Tracts in Mathematics, 104, Cambridge (1994), xii+314 pages.

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[BI84] Bannai, E. and Ito, T., Algebraic combinatorics. I, The Benjamin/Cummings Publishing Co. Inc., Menlo Park, CA (1984), xxiv+425 pages
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[BL96] Breuer, T. and Lux, K., The multiplicity-free permutation characters of the sporadic simple groups and their automorphism groups, Comm. Algebra, 24 (7) (1996), 2293–2316.

[BCN89] Brouwer, A. E., Cohen, A. M. and Neumaier, A., Distance-regular graphs, Springer-Verlag, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], 18, Berlin (1989), xviii+495 pages.

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[CP92] Conway, J. H. and Pritchard, A. D., Hyperbolic reflections for the Bimonster and 3 Fi_24, in Groups, combinatorics & geometry (Durham, 1990), Cambridge Univ. Press, London Math. Soc. Lecture Note Ser., 165, Cambridge (1992), 24–45.

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[Hig76a] Higman, D. G., Coherent configurations. II. Weights, Geometriae Dedicata, 5 (4) (1976), 413–424.

[Hig76b] Higman, D. G., A monomial character of Fischer's baby monster, in Proceedings of the Conference on Finite Groups (Univ. Utah, Park City, Utah, 1975), Academic Press, New York (1976), 277–283.

[HS68] Higman, D. G. and Sims, C. C., A simple group of order 44,352,000, Math. Z., 105 (1968), 110–113.

[Hup57] Huppert, B., Zweifach transitive, auflösbare Permutationsgruppen, Math. Z., 68 (1957), 126–150.

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[Iva94] Ivanov, A. A., Presenting the Baby Monster, J. Algebra, 163 (1) (1994), 88–108.

[IKF82] Ivanov, A. A., Klin, M. H. and Faradžev, I. A., Primitive representations of nonabelian simple groups of order less than 10^6, Part 1, Moscow (1982)
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[ILLSS95] Ivanov, A. A., Linton, S. A., Lux, K., Saxl, J. and Soicher, L. H., Distance-transitive representations of the sporadic groups, Comm. Algebra, 23 (9) (1995), 3379–3427.

[JLPW95] Jansen, C., Lux, K., Parker, R. and Wilson, R., An atlas of Brauer characters, The Clarendon Press Oxford University Press, London Mathematical Society Monographs. New Series, 11, New York (1995), xviii+327 pages
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[Kan85] Kantor, W. M., Homogeneous designs and geometric lattices, J. Combin. Theory Ser. A, 38 (1) (1985), 66–74.

[KL82] Kantor, W. M. and Liebler, R. A., The rank 3 permutation representations of the finite classical groups, Trans. Amer. Math. Soc., 271 (1) (1982), 1–71.

[KPW89] Kleidman, P. B., Parker, R. A. and Wilson, R. A., The maximal subgroups of the Fischer group Fi_23, J. London Math. Soc. (2), 39 (1) (1989), 89–101.

[Leo80] Leon, J. S., On an algorithm for finding a base and a strong generating set for a group given by generating permutations, Math. Comp., 35 (151) (1980), 941–974.

[Lie87] Liebeck, M. W., The affine permutation groups of rank three, Proc. London Math. Soc. (3), 54 (3) (1987), 477–516.

[LPS88] Liebeck, M. W., Praeger, C. E. and Saxl, J., On the O'Nan-Scott theorem for finite primitive permutation groups, J. Austral. Math. Soc. Ser. A, 44 (3) (1988), 389–396.

[LPS90] Liebeck, M. W., Praeger, C. E. and Saxl, J., The maximal factorizations of the finite simple groups and their automorphism groups, Mem. Amer. Math. Soc., 86 (432) (1990), iv+151.

[LS86] Liebeck, M. W. and Saxl, J., The finite primitive permutation groups of rank three, Bull. London Math. Soc., 18 (2) (1986), 165–172.

[LLS95] Linton, S. A., Lux, K. and Soicher, L. H., The primitive distance-transitive representations of the Fischer groups, Experiment. Math., 4 (3) (1995), 235–253.

[LW91] Linton, S. A. and Wilson, R. A., The maximal subgroups of the Fischer groups Fi_24 and Fi'_24, Proc. London Math. Soc. (3), 63 (1) (1991), 113–164.

[Mai1895] Maillet, E., Sur les isomorphes holoédriques et transitifs des groupes symmetriques ou alternés, J. Math. Pures Appl. (5), 1 (1895), 5–34.

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[MNP85] Meyer, W., Neutsch, W. and Parker, R., The minimal 5-representation of Lyons' sporadic group, Math. Ann., 272 (1) (1985), 29–39.

[Neu82] Neubüser, J., An elementary introduction to coset table methods in computational group theory, in Groups—St. Andrews 1981 (St. Andrews, 1981), Cambridge Univ. Press, London Math. Soc. Lecture Note Ser., 71, Cambridge (1982), 1–45.

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[Sei74] Seitz, G. M., Small rank permutation representations of finite Chevalley groups, J. Algebra, 28 (1974), 508–517.

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[Sim73] Sims, C. C., The existence and uniqueness of Lyons' group, in Finite groups '72 (Proc. Gainesville Conf., Univ. Florida, Gainesville, Fla., 1972), North-Holland, Amsterdam (1973), 138–141. North-Holland Math. Studies, Vol. 7.

[Soi85] Soicher, L. H., Presentations of some finite groups, Ph.D. thesis, Cambridge (1985).

[Soi87a] Soicher, L. H., Presentations for Conway's group Co_1, Math. Proc. Cambridge Philos. Soc., 102 (1) (1987), 1–3.

[Soi87b] Soicher, L. H., Presentations of some finite groups with applications to the O'Nan simple group, J. Algebra, 108 (2) (1987), 310–316.

[Soi88] Soicher, L. H., Presentations for some groups related to Co_1, in Computers in algebra (Chicago, IL, 1985), Dekker, Lecture Notes in Pure and Appl. Math., 111, New York (1988), 151–154.

[Soi90] Soicher, L. H., A new existence and uniqueness proof for the O'Nan group, Bull. London Math. Soc., 22 (2) (1990), 148–152.

[Soi91] Soicher, L. H., A new uniqueness proof for the Held group, Bull. London Math. Soc., 23 (3) (1991), 235–238.

[Soi93a] Soicher, L. H., The Lyons group has no distance-transitive representation, in Finite geometry and combinatorics (Deinze, 1992), Cambridge Univ. Press, London Math. Soc. Lecture Note Ser., 191, Cambridge (1993), 355–358.

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[Soi95] Soicher, L. H., Yet another distance-regular graph related to a Golay code, Electron. J. Combin., 2 (1995), Note 1, approx. 4 pp. (electronic).

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"On endomorphism rings and character tables"

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[BL96] Breuer, T. and Lux, K., The multiplicity-free permutation characters of the sporadic simple groups and their automorphism groups, Comm. Algebra, 24 (7) (1996), 2293–2316.

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