6 papers · 1 filter
Degrees of -rational characters and normality of Sylow -subgroups
Silvio Dolfi, Pham Huu Tiep, Yu Zeng
Several refinements of (the normality part of) the celebrated Itô--Michler theorem were obtained during the last two decades, in which the condition of having -degree, for a f…
Character estimates for finite classical groups and the asymptotic Thompson Conjecture
Michael Larsen, Pham Huu Tiep
If is a finite classical group, linear or unitary in any characteristic, and orthogonal in odd characteristic, we give an approximate formula for in which the error ter…
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.
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…
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…
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…