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Journal articleGiudici M, Liebeck MW, Praeger CE, et al., 2015,
Arithmetic results on orbits of linear groups
, Transactions of the American Mathematical Society, Vol: 368, Pages: 2415-2467, ISSN: 1088-6850 -
Journal articleAmato D, Evans DM, 2015,
Infinite primitive and distance transitive directed graphs of finite out-valency
, Journal of Combinatorial Theory Series B, Vol: 114, Pages: 33-50, ISSN: 1096-0902We give certain properties which are satisfied by the descendant set of a vertex in an infinite, primitive, distance transitive digraph of finite out-valency and provide a strong structure theory for digraphs satisfying these properties. In particular, we show that there are only countably many possibilities for the isomorphism type of such a descendant set, thereby confirming a conjecture of the first Author. As a partial converse, we show that certain related conditions on a countable digraph are sufficient for it to occur as the descendant set of a primitive, distance transitive digraph.
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Journal articleLiebeck MW, 2015,
On products of involutions in finite groups of Lie type in even characteristic
, JOURNAL OF ALGEBRA, Vol: 421, Pages: 431-437, ISSN: 0021-8693- Author Web Link
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- Citations: 1
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Journal articleLiebeck MW, Shalev A, 2015,
On fixed points of elements in primitive permutation groups
, JOURNAL OF ALGEBRA, Vol: 421, Pages: 438-459, ISSN: 0021-8693- Author Web Link
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- Citations: 8
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Journal articleLiebeck MW, Shalev A, 2014,
POWER SETS AND SOLUBLE SUBGROUPS
, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol: 142, Pages: 3757-3760, ISSN: 0002-9939 -
Journal articleLawther R, Liebeck MW, Seitz GM, 2014,
Outer unipotent classes in automorphism groups of simple algebraic groups
, PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, Vol: 109, Pages: 553-595, ISSN: 0024-6115- Author Web Link
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- Citations: 7
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Journal articleLiebeck MW, Shalev A, 2014,
Bases of primitive linear groups II
, JOURNAL OF ALGEBRA, Vol: 403, Pages: 223-228, ISSN: 0021-8693- Author Web Link
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- Citations: 7
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Journal articleLiebeck MW, Shalev A, 2013,
POWERS IN FINITE GROUPS AND A CRITERION FOR SOLUBILITY
, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol: 141, Pages: 4179-4189, ISSN: 0002-9939- Author Web Link
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- Citations: 3
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Journal articleBurness TC, Liebeck MW, Shalev A, 2013,
Generation and random generation: From simple groups to maximal subgroups
, ADVANCES IN MATHEMATICS, Vol: 248, Pages: 59-95, ISSN: 0001-8708- Author Web Link
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- Citations: 7
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Journal articleJambor S, Liebeck MW, O'Brien EA, 2013,
Some word maps that are non-surjective on infinitely many finite simple groups
, BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, Vol: 45, Pages: 907-910, ISSN: 0024-6093- Author Web Link
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- Citations: 7
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