1 citations · 1 across the 17 of their papers we have counts for
7 papers · 1 filter
Non-congruence presentations of finite simple groups
William Y. Chen, Alexander Lubotzky, Pham Huu Tiep
We prove two results on some special generators of finite simple groups and use them to prove that every non-abelian finite simple group admits a non-congruence presentation (a…
Tensor product Markov chains and Weil representations
Jason Fulman, Michael Larsen, Pham Huu Tiep
We obtain sharp bounds on the convergence rate of Markov chains on irreducible representations of finite general linear, unitary, and symplectic groups (in both odd and even charac…
Representation growth of Fuchsian groups and modular forms
Michael Larsen, Jay Taylor, Pham Huu Tiep
Let be a cocompact, oriented Fuchsian group which is not on an explicit finite list of possible exceptions and a sufficiently large prime power not divisible by the order o…
Finite groups whose real irreducible representations have unique dimensions
Thomas Breuer, Frank Calegari, Silvio Dolfi +2
We determine the finite groups whose real irreducible representations have different degrees.
An extension of Gow's theorem
Robert M. Guralnick, Pham Huu Tiep
We extend Gow's theorem on products of semisimple regular conjugacy classes to finite groups whose generalized Fitting subgroup is Z(G)S where S is a quasisimple group of Lie type…
Uniform Character Bounds for Finite Classical Groups
Michael Larsen, Pham Huu Tiep
For every finite quasisimple group of Lie type , every irreducible character of , and every element of , we give an exponential upper bound for the character ratio…