280 citations · 1k across the 82 of their papers we have counts for
4 papers · 2 filters
Linear groups with Borel's property
Khalid Bou-Rabee, Michael Larsen
When does Borel's theorem on free subgroups of semisimple groups generalize to other groups? We initiate a systematic study of this question and find positive and negative answers…
A Refined Waring Problem for Finite Simple Groups
Michael Larsen, Pham Huu Tiep
Let v and w be nontrivial words in two free groups. We prove that, for all sufficiently large finite non-abelian simple groups G, there exist subsets C of v(G) and D of w(G) of siz…
On the Distribution of Values of Certain Word Maps
Michael Larsen, Aner Shalev
For any positive integers m and n, the word map (x,y) -> x^m y^n is almost measure preserving on large finite simple groups G.
Deformation theory and finite simple quotients of triangle groups II
Michael Larsen, Alexander Lubotzky, Claude Marion
This paper is a continuation of our first paper [10] in which we showed how deformation theory of representation varieties can be used to study finite simple quotients of triangle…