280 citations · 1k across the 82 of their papers we have counts for
27 papers · 1 filter
Squares of Conjugacy Classes in Alternating Groups
Michael J. Larsen, Pham Huu Tiep
We extend to alternating groups several results about symmetric groups asserting that under various conditions on a conjugacy class, or more generally, a normal subset, o…
Strongly dense free subgroups of semisimple algebraic groups II
Emmanuel Breuillard, Robert Guralnick, Michael Larsen
It was shown in Part I that there exist strongly dense free subgroups in any semisimple algebraic group over a large enough field. These are nonabelian free subgroups all of whose…
Identities with coefficients in simple compact Lie groups
Michael Larsen, Aner Shalev
We conjecture that if is a simple compact Lie group with trivial center, then every -variable non-constant word map with coefficients in defines a non-constant function…
Disjointness of a simple matrix Lie group and its Lie algebra
Michael J. Larsen
Let be a connected closed subgroup of which is simple as a Lie group and which acts irreducibly on . Regarding both and its Lie al…
Characteristic Covering Numbers of Finite Simple Groups
Michael Larsen, Aner Shalev, Pham Huu Tiep
We show that, if are words which are not an identity of any (non-abelian) finite simple group, then for all (non-abelian) finit…
Products of normal subsets and derangements
Michael Larsen, Aner Shalev, Pham Huu Tiep
In recent years there has been significant progress in the study of products of subsets of finite groups and of finite simple groups in particular. In this paper we consider which…