4 papers
Products of normal subsets and derangements
Michael Larsen, Aner Shalev, Pham Huu Tiep
In recent years there has been significant progress in the study of products of subsets of finite groups and of finite simple groups in particular. In this paper we consider which…
Character Levels and Character Bounds. II
Robert M. Guralnick, Michael Larsen, Pham Huu Tiep
This paper is a continuation of [GLT], which develops a level theory and establishes strong character bounds for finite simple groups of linear and unitary type in the case that th…
Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems
Alexander Kleshchev, Lucia Morotti, Pham Huu Tiep
We study irreducible restrictions from modules over alternating groups to subgroups. We get reduction results which substantially restrict the classes of subgroups and modules for…
Character bounds for finite groups of Lie type
Roman Bezrukavnikov, Martin W. Liebeck, Aner Shalev +1
We establish new bounds on character values and character ratios for finite groups of Lie type, which are considerably stronger than previously known bounds, and which are best…