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Journal articleEvans DM, Pantano ME, 2002,
א<inf>0</inf>-categorical structures with arbitrarily fast growth of algebraic closure
, Journal of Symbolic Logic, Vol: 67, Pages: 897-909, ISSN: 0022-4812- Cite
- Citations: 1
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Journal articleLiebeck MW, Shalev A, 2001,
Diameters of finite simple groups: sharp bounds and applications
, ANNALS OF MATHEMATICS, Vol: 154, Pages: 383-406, ISSN: 0003-486X- Author Web Link
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- Citations: 96
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Journal articleLiebeck MW, Pyber L, 2001,
Finite linear groups and bounded generation
, DUKE MATHEMATICAL JOURNAL, Vol: 107, Pages: 159-171, ISSN: 0012-7094- Author Web Link
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- Citations: 23
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Journal articleEvans DM, 2001,
Suborbits in infinite primitive permutation groups
, Bulletin of the London Mathematical Society, Vol: 33, Pages: 583-590, ISSN: 0024-6093For 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.
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Journal articleBrookes CJB, Evans DM, 2001,
Augmentation modules for affine groups
, Mathematical Proceedings of the Cambridge Philosophical Society, Vol: 130, Pages: 287-294, ISSN: 0305-0041We prove that if k, F are fields of different characteristics then the permutation module kFn for the affine group AGL(n, F) has simple augmentation submodule. This proves a conjecture of A. R. Camina. © 2001 Cambridge Philosophical Society.
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Journal articleEvans DM, Wagner FO, 2000,
Supersimple ω-categorical groups and theories
, Journal of Symbolic Logic, Vol: 65, Pages: 767-776, ISSN: 0022-4812An 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.
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Journal articleLiebeck MW, Praeger CE, Saxl J, 2000,
Transitive subgroups of primitive permutation groups
, Journal of Algebra, Vol: 234, Pages: 291-361, ISSN: 0021-8693 -
Journal articleLiebeck 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- Author Web Link
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- Citations: 49
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Journal articleGuralnick RM, Liebeck MW, Saxl J, et al., 1999,
Random generation of finite simple groups
, JOURNAL OF ALGEBRA, Vol: 219, Pages: 345-355, ISSN: 0021-8693- Author Web Link
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- Citations: 10
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Journal articleLiebeck MW, Shalev A, 1999,
Simple groups, permutation groups, and probability
, Journal of the American Mathematical Society, Vol: 12, Pages: 497-520, ISSN: 0894-0347
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