280 citations · 1k across the 82 of their papers we have counts for
97 papers
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…
Level, rank, and tensor growth of representations of symmetric groups
Alexander Kleshchev, Michael Larsen, Pham Huu Tiep
We develop a theory of levels for irreducible representations of symmetric groups of degree analogous to the theory of levels for finite classical groups. A key property of lev…
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…
Character bounds for regular semisimple elements and asymptotic results on Thompson's conjecture
Michael Larsen, Jay Taylor, Pham Tiep
For every integer there exists a bound such that if the characteristic polynomial of is the product of pairwise distinct monic ir…