1 citations · 2 across the 4 of their papers we have counts for
7 papers
Permutation representations of nonsplit extensions involving alternating groups
Robert M. Guralnick, Martin W. Liebeck
L. Babai has shown that a faithful permutation representation of a nonsplit extension of a group by an alternating group must have degree at least , an…
Algorithms determining finite simple images of finitely presented groups
Martin R. Bridson, David M. Evans, Martin W. Liebeck +1
We address the question: for which collections of finite simple groups does there exist an algorithm that determines the images of an arbitrary finitely presented group that lie in…
The depth of a finite simple group
Timothy C. Burness, Martin W. Liebeck, Aner Shalev
We introduce the notion of the depth of a finite group , defined as the minimal length of an unrefinable chain of subgroups from to the trivial subgroup. In this paper we in…
Character bounds for finite groups of Lie type
Roman Bezrukavnikov, Martin W. Liebeck, Aner Shalev +1
We establish new bounds on character values and character ratios for finite groups of Lie type, which are considerably stronger than previously known bounds, and which are best…
Finite subgroups of simple algebraic groups with irreducible centralizers
Martin W. Liebeck, Adam R. Thomas
We determine all finite subgroups of simple algebraic groups that have irreducible centralizers - that is, centralizers whose connected component does not lie in a parabolic subgro…
Chiral polyhedra and finite simple groups
Dimitri Leemans, Martin W. Liebeck
We prove that every finite non-abelian simple group acts as the automorphism group of a chiral polyhedron, apart from the groups , , and .