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Publications of Alice C. Niemeyer: 
Journal Articles
  1. ``The block-transitive, point-imprimitive 2-(729,8,1) designs'', Werner Nickel, Alice C. Niemeyer, Christine M. O'Keefe, Tim Penttila & Cheryl E. Praeger. Applicable Algebra in Engineering, Communication and Computing, 1992.
  2. ``A Finite Soluble Quotient Algorithm". Alice C. Niemeyer, J. Symbolic Computation , 18 , 541-561, 1994.
  3. ``Computing finite soluble quotients". Alice C. Niemeyer, Computational Algebra and Number Theory , (eds. Wieb Bosma and Alf van der Poorten), Kluwer, 1995.
  4. ``Generating random elements of a finite group", Frank Celler, C.R. Leedham-Green, Scott H. Murray, Alice C. Niemeyer &E.A. O'Brien, Comm. Algebra , 23 , 4931--4948, 1995.
  5. Cheryl E. Praeger with assistance of Cai Heng Li and Alice C. Niemeyer. ``Finite transitive permutation groups and finite vertex-transitive graphs.'' Graph symmetry (Montreal, PQ, 1996), 277--318, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 497, Kluwer Acad. Publ., Dordrecht, 1997.
  6. ``Descriptions of groups of prime power order", M.F. Newman, Werner Nickel & Alice C. Niemeyer, Journal of Symbolic Computation, 25 (5), 665--682, 1998.
  7. ``A Recognition Algorithm for Classical Groups over Finite Fields", Alice C. Niemeyer & Cheryl E. Praeger, in Proc. London Math. Soc. (3), 77, 117 -- 169, 1998.
  8. ``Groups with Exponent six" , with George Havas, M.F. Newman, and Charles Sims, in Communications in Algebra 27, no. 8, 3619-3638, 1999.
  9. ``A recognition algorithm for non-generic classical groups over finite fields", with Cheryl E. Praeger, in J. Austral. Math. Soc. (Series A)67 , 223-253, 1999.
  10. ``Computing in groups with exponent six'', with George Havas, M.F. Newman and Charles C. Sims, in Computational and Geometric Aspects of Modern Algebra, Proceedings of the ICMS Workshop held at the Heriot-Watt University, Edinburgh 1998, (ed. M.D. Atkinson et al.), London Math. Soc. Lect. Notes. 275 87-100. (Cambridge Univ. Press) 2000.
  11. ``Orderly generation of Rahilly families and symmetric designs with a half-regular group of automorphisms", with Priscila P. Alejandro and Anton Betten. Proceedings of the 2nd Pythagorean Conference Samos, Greece 1999, J. Geometry 67, 2-22. 2000.
  12. ``Complexity and computation in matrix groups" with Cheryl E. Praeger, in Aspects of complexity. Eds: Rod Downey and Denis Hirschfeldt, de Gruyter Series in Logic and its Applications, Volume 4, de Gruyter, Berlin, pp. 87-113. 2001.
  13. ``Permutations with restricted cycle structure and an algorithmic application" with Robert Beals, Charles R. Leedham-Green, Cheryl E. Praeger and Ákos Seress in Combinatorics, Probability and Computing 11, 447-464. 2002.
  14. ``Recognising Matrix groups", with Charles R. Leedham-Green, E.A. O'Brien and Cheryl E. Praeger, in Computer Algebra Handbook, Foundations, Applications, Systems. Ed. J. Grabmeier, E. Kaltofen, V. Weispfenning, Springer-Verlag, Berlin New York pp. 474-475. 2003.
  15. ``ANU polycyclic quotient programs'', with M.F. Newman, Werner Nickel and E.A. O'Brien, in Computer Algebra Handbook, Foundations, Applications, Systems. Ed. J. Grabmeier, E. Kaltofen, V. Weispfenning, Springer-Verlag, Berlin New York pp.459-460. 2003.
  16. ``A black box algorithm for recognising finite symmetric and alternating groups, I" with Robert Beals, Charles R. Leedham-Green, Cheryl E. Praeger and Ákos Seress, Trans. Amer. Math. Soc. 355 ,pp. 2097-2113 (electronic) 2003.
  17. ``On a theorem of Wielandt for primitive permutation groups" with Anton Betten, Anne Delandtsheer and Cheryl E. Praeger, J. Group Theory 6 , 415-420, 2003.
  18. ``Finite line-transitive linear spaces: parameters and normal point-partitions" with Anne Delandtsheer and Cheryl E. Praeger, Advances in Geometry 3 , 469-485, 2003.
  19. ``A constructive recognition algorithm for normalisers of small extra special-groups as matrix groups". International Journal of Algebra and Computation, Vol. 15, No. 2, 367-394, 2005.
  20. ``Constructive recognition of finite alternating and symmetric groups acting as matrix groups on their natural permutation modules." with Robert Beals, Charles R. Leedham-Green, Cheryl E. Praeger and Ákos Seress. J. Algebra, Vol 92, no. 1, 4--46, 2005.
  21. ``A search algorithm for line-transitive point-imprimitive linear spaces" with Anton Betten, Greg Cresp and Cheryl E. Praeger. Bayreuther Mathematischen Schriften, 2005.
  22. ``A reduction algorithm for large-base primitive permutation groups" with Maska Law, Cheryl E. Praeger and Ákos Seress. LMS J. of Computation and Mathematics , 9, 159--173, 2006.
  23. ``On the frequency of permutations containing a long cycle" with Cheryl E. Praeger. Journal of Algebra, 300(1). 2006.
  24. ``On the lengths of pairs of complex matrices of size at most five", with W.E. Longstaff and Oreste Panaia. Bulletin of the Australian Mathematical Society, 73 , 461--472, 2006.
  25. ``A reduction algorithm for matrix groups with an extraspecial normal subgroup", with Peter Brooksbank and Ákos Seress, proceedings of ``Finite Geometries, Groups, and Computation". Eds. A. Hulpke, R. Liebler, T. Penttila, Á. Seress. deGruyter, 1--16, 2006.
  26. ``The minimum length of a base for the symmetric group acting on partitions" with Carmit Benbenishty and Jonathan Cohen. European Journal of Combinatorics 28 , 6, 1553-1876, 2007.
  27. ``On Permutations of Order Dividing a Given Integer" with Cheryl E. Praeger. Journal of Algebraic Combinatorics. 26 (1), 125--142, 2007.
  28. ``On the proportion of permutations of order a multiple of the degree" with Cheryl E. Praeger. Journal of the London Math. Soc. (2) 76 no. 3, 622--632, 2007.
  29. ``Apportionment Methods", with Horst F. Niemeyer. Mathematical Social Sciences 56, 240-253, 2008.
  30. ``Finding involutions in finite Lie type groups of odd characteristic'', with Frank Lübeck and Cheryl E. Praeger. J. Algebra 2009.
  31. ``Finite line-transitive linear spaces: Theory and search strategies", with Anton Betten, Anne Delandtsheer, Maska Law, Cheryl E. Praeger and Shenglin Zhou. Acta Mathematica Sinica 25 (9), Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society, co-published with Springer-Verlag GmbH 1399-1436, DOI 10.1007/s10114-009-9275-0, 2009.
  32. ``Estimating proportions of elements in finite simple groups of Lie type'', with Cheryl E. Praeger. J. Algebra 324 (1), 122-145, 2010.
  33. ``On proportions of pre-involutions in finite classical groups'', with Tomasz Popiel and Cheryl E. Praeger. J. Algebra 324 (5), 1016-1043, 2010.
  34. ``On semiregular permutations on a finite set", with Tomasz Popiel, Cheryl E. Praeger and Sukru Yalcinkaya. Math. Comp. 81, 605--622, 2012.
  35. ``Irreducible linear subgroups generated by pairs of matrices with large irreducible submodules'', with Sabina B. Pannek and Cheryl E. Praeger. Archiv der Mathematik. 98 , Number 2, 105-114, DOI: 10.1007/s00013-012-0359-1 2012.
  36. ``Algorithms to identify abundant $p$-singular elements in finite classical groups", with Tomasz Popiel and Cheryl E. Praeger. Bull. Aust. Math. Soc. 86, 50-63,2012.
  37. ``Fast recognition of alternating groups of unknown degree", with Sebastian Jambor, Martin Leuner and Wilhelm Plesken. J. Algebra 392 , 315-335, 2013.
  38. ``Abundant p-singular elements in finite classical groups", with Tomasz Popiel and Cheryl E. Praeger. J. Algebra , 408 , 189-204, 2014.
  39. ``Elements in finite classical groups whose powers have large 1-Eigenspaces", with Cheryl E. Praeger) DMTCS, 16 (1), 303-312, 2014.
  40. ``Complexity of group multiplication", with M.F. Newman. J. Algebra , 421 , 425-320, doi:10.1016/j.algebra.2014.08.036 2015.
  41. ``Finding permutations containing long cycles in finite alternating and symmetric groups acting on subsets", with Steve Linton and Cheryl E. Praeger. J. of Algebra Comb. Discrete Structures and Appl. 2(2), p.117-149, 2015.
  42. ``Finding involutions with small support", with Tomasz Popiel, Bulletin of the Australian Mathematical Society 94 (1), p. 43-47, 2016.
  43. ``Primitive Prime Divisors and the n-th Cyclotomic polynomial", with S. P. Glasby, Frank Lübeck and Cheryl E. Praeger, J. Aust. Math. Soc. 102 (1), p. 122-135, doi: 10.1017/S1446788715000269, 2017.
  44. ``On the complexity of multiplication in the Iwahori Hecke algebra of the symmetric group", with Götz Pfeiffer and Cheryl E. Praeger, Journal of Symbolic Computation 80 (3), p. 817-832, http://dx.doi.org/10.1016/j.jsc.2016.09.001, 2017.
  45. ``The Divisibility Graph of finite groups of Lie Type", with Adeleh Abdolghafourian and Mohammad A. Iranmanesh, J. of Pure and Applied Algebra 10 p. 2482-2493, 2017.
  46. ``Simplicial Surfaces Controlled by one Triangle", with Ansgar Strzelczyk, Karl-Heinz Brakhage, and Wilhelm Plesken, J. for Geometry and Graphics 21 (2) p. 141-152, 2017.
  47. ``Maximal linear groups induced on the Frattini quotient of a p-group", with John Bamberg, S. P. Glasby and Luke Morgan. J. of Pure and Applied Algebra 222 (10), 2931-2951, 2018. DOI: 10.1016/j.jpaa.2017.11.006
  48. "On the second-largest Sylow subgroup of a finite simple group of Lie type". with S. P. Glasby and Tomasz Popiel. Bulletin of the Australian Mathematical Society 99 (2), p. 203-211, 2019.
  49. ``The icosahedra of edge length 1", With Karl-Heinz Brakhage, and Wilhelm Plesken, Daniel Robertz, and Ansgar Strzelczyk. J. Algebra , 545 , p. 4-26, 2020. 10.1016/j.jalgebra.2019.04.028
  50. ``A family of hemisystems on the parabolic quadrics", With Jesse Lansdown. J. Combin. Theory, Ser. A. 175 , 105280, 17 pp. 2020. 10.1016/j.jcta.2020.105280
  51. ``Conjugacy classes and centralisers in wreath products", With Dominik Bernhardt, Friedrich Rober, and Lucas Wollenhaupt. Journal of Symbolic Computation 113, p. 97-125, 2022. 10.1016/j.jsc.2022.02.005
  52. ``The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions", With Stephen P. Glasby and Cheryl E. Praeger. Finite Fields and Their Applications. 82, p. , 2022. 10.1016/j.ffa.2022.102055
  53. ``Random generation of direct sums of finite non-degenerate subspaces", With Stephen P. Glasby and Cheryl E. Praeger. Linear Algebra and its Applications. 649, p. 408-432, 2022. 10.1016/j.laa.2022.05.016
Conference Articles
  1. ``Implementing a Recognition Algorithm for Classical Groups", with Cheryl E. Praeger, in Groups and Computation II , DIMACS: Series in Discrete Mathematics and Theoretical Computer Science, 28 (ed. Larry Finkelstein and William M. Kantor, American Mathematical Society), 273--296, 1997.
  2. ``Description of the origami waterbomb cell kinematics as a basis for the design of thin-walled oricrete shells", With R. Chudoba, H. Spartali, D. Robertz and W. Plesken. IASS2020/21-SURREY7: Annual Symposium of the International Association for Shell and Spatial Structures (IASS2020/21) and the 7th Surrey International Conference on Spatial Structure (Editors: S.A. Behnejad, G.A.R. Parke, O.A. Samavati), p. 2681-2689, 2021. 10.15126/900337
  3. ``Topological interlocking via symmetry", With Tom Goertzen and Wilhelm Plesken. Concrete innovation for sustainability In: Proceedings for the 6th fib International Congress 2022: Oslo, Norway, June 12-16, 2022, Stokkeland, S., eds., International Federation for Structural Concrete, Lausanne, Switzerland. 2022.
  4. ``Initial numerical development of design procedures for TRC bioinspired shells", with Iurii Vakaliuk, Tom Goertzen, Silke Scheerer, and Manfred Curbach. Innovation, Sustainability and Legacy - Proceedings of IASS/APCS Annual Symposium 2022, Beijing, China, p. 2597-2608, 2022.
  5. ``Semi-symmetric origami waterbomb cell kinematics and tessellation for the design of thin-walled folded shells'', With Daniel Robertz, Homam Spartali, Wilhelm Plesken and Rostislav Chudoba. Innovation, Sustainability and Legacy - Proceedings of the IASS 2022/APCS 2022 conference, 19-23 September 2022, Beijing, China, Novus Press Oslo, 2022.
  6. ``Triply Periodic Minimal Surfaces - A Novel Design Approach for Lightweight CRC Structures'', with Sebastian Wiesenhueter, Tom Goertzen, Iurii Vakaliuk, Manfred Curbach, Silke Scheerer und Jorg Rainer Noennig. In: Ilki, A., Çavunt, D., Çavunt, Y.S. (eds) Building for the Future: Durable, Sustainable, Resilient. fib Symposium 2023. Lecture Notes in Civil Engineering, 350, p. 1449-1458. Springer, Cham. 2023. https://doi.org/10.1007/978-3-031-32511-3_148
  7. ``A Group-Theoretic Approach for Constructing Spherical- Interlocking Assemblies", with Reymond Akpanya and Tom Goertzen. Proceedings of the IASS Annual Symposium 2023 Integration of Design and Fabrication, 10-14 July 2023, Melbourne, Australia. 2023.
  8. ``Topological Interlocking, Truchet Tiles and Self-Assemblies: A Construction-Kit for Civil Engineering Design", with Reymond Akpanya, Tom Goertzen, Sebastian Wiesenhuetter, and Jörg Noennig. In: J. Holdener, E. Torrence, C. Fong, and K. Seaton, Proceedings of Bridges 2023: Mathematics, Art, Music, Architecture, Culture. p. 61-68, Tessellations Pulishing, Phoenix Arizona, 2023.
accepted

submitted Research Reports (not appearing elsewhere)
  1. ``Two families of block-transitive point-imprimitive designs'', with Werner Nickel, Research Report No SMS-022-90 Mathematics Research Section School of Mathematical Sciences ANU, 1990.
  2. ``The p-Quotient Algorithm in GAP", with Frank Celler, M.F. Newman & Werner Nickel. Research Report No SMS-127-93 Mathematics Research Section School of Mathematical Sciences ANU, 1993.
other publications Non-mathematical Publications Also affiliated with: Centre for the Mathematics of Symmetry and Computation, University of Western Australia. (see here )
Maths Genealogy
Last Updated: April 2024