280 citations · 1k across the 82 of their papers we have counts for
8 papers · 1 filter
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…
Adelic openness without the Mumford-Tate conjecture
Chun Yin Hui, Michael Larsen
Let be a non-singular projective variety over a number field , a non-negative integer, and $V_{\A}$, the etale cohomology of with coefficients in the ring of fi…
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.
Arithmetic quotients of the mapping class group
Fritz Grunewald, Michael Larsen, Alexander Lubotzky +1
To every -irreducible representation of a finite group , there corresponds a simple factor of with an involution . To this pair , we associate an ari…
Rational curves on quotients of abelian varieties by finite groups
Bo-Hae Im, Michael Larsen
In [3], it is proved that the quotient of an abelian variety by a finite order automorphism is uniruled if and only if some power of satisfies a numerical condition $0<…