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math.GR2020
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…
math.GR2017
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…