A. Shalev

activity

20042022

most citedCommutator maps, measure preservation, and T-systems

43 citations · 124 across the 25 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.RT2021

Representations and tensor product growth

Michael Larsen, Aner Shalev, Pham Huu Tiep

The deep theory of approximate subgroups establishes 3-step product growth for subsets of finite simple groups $G$ of Lie type of bounded rank. In this paper we obtain 2-step growt…

math.GR2021

Characteristic Covering Numbers of Finite Simple Groups

Michael Larsen, Aner Shalev, Pham Huu Tiep

We show that, if $w_{1}, \dots, w_{6}$ are words which are not an identity of any (non-abelian) finite simple group, then $w_{1} (G) w_{2} (G) \dots w_{6} (G) = G$ for all (non-abelian) finit…