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  • JOURNAL ARTICLE
    Brookes CJB, Evans DM, 2001,

    Augmentation modules for affine groups

    , Mathematical Proceedings of the Cambridge Philosophical Society, Vol: 130, Pages: 287-294, ISSN: 0305-0041

    We prove that if k, F are fields of different characteristics then the permutation module kF n for the affine group AGL(n, F) has simple augmentation submodule. This proves a conjecture of A. R. Camina. © 2001 Cambridge Philosophical Society.

  • JOURNAL ARTICLE
    Evans DM, 2001,

    Suborbits in infinite primitive permutation groups

    , Bulletin of the London Mathematical Society, Vol: 33, Pages: 583-590, ISSN: 0024-6093

    For every infinite cardinal κ. we construct a primitive permutation group which has a finite suborbit paired with a suborbit of size κ. This answers a question of Peter M. Neumann.

  • JOURNAL ARTICLE
    Liebeck MW, Pyber L, 2001,

    Finite linear groups and bounded generation

    , DUKE MATHEMATICAL JOURNAL, Vol: 107, Pages: 159-171, ISSN: 0012-7094
  • JOURNAL ARTICLE
    Liebeck MW, Shalev A, 2001,

    Diameters of finite simple groups: sharp bounds and applications

    , ANNALS OF MATHEMATICS, Vol: 154, Pages: 383-406, ISSN: 0003-486X
  • JOURNAL ARTICLE
    Evans DM, Wagner FO, 2000,

    Supersimple ω-categorical groups and theories

    , Journal of Symbolic Logic, Vol: 65, Pages: 767-776, ISSN: 0022-4812

    An ω-categorical supersimple group is finite-by-abelian-by-finite, and has finite SU-rank. Every definable subgroup is commensurable with an acl(Ø)-definable subgroup. Every finitely based regular type in a CM-trivial ω-categorical simple theory is non-orthogonal to a type of SU-rank 1. In particular, a supersimple ω-categorical CM-trivial theory has finite SU-rank.

  • JOURNAL ARTICLE
    Liebeck MW, Praeger CE, Saxl J, 2000,

    Transitive subgroups of primitive permutation groups

    , Journal of Algebra, Vol: 234, Pages: 291-361, ISSN: 0021-8693
  • JOURNAL ARTICLE
    Guralnick RM, Liebeck MW, Saxl J, Shalev Aet al., 1999,

    Random generation of finite simple groups

    , JOURNAL OF ALGEBRA, Vol: 219, Pages: 345-355, ISSN: 0021-8693
  • JOURNAL ARTICLE
    Liebeck MW, Seitz GM, 1999,

    On finite subgroups of exceptional algebraic groups

    , JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, Vol: 515, Pages: 25-72, ISSN: 0075-4102
  • JOURNAL ARTICLE
    Liebeck MW, Shalev A, 1999,

    Simple groups, permutation groups, and probability

    , Journal of the American Mathematical Society, Vol: 12, Pages: 497-520, ISSN: 0894-0347
  • JOURNAL ARTICLE
    Lawther R, Liebeck MW, 1998,

    On the diameter of a Cayley graph of a simple group of Lie type based on a conjugacy class

    , JOURNAL OF COMBINATORIAL THEORY SERIES A, Vol: 83, Pages: 118-137, ISSN: 0097-3165

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