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

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32 papers · 1 filter

math.GR2022

Identities with coefficients in simple compact Lie groups

Michael Larsen, Aner Shalev

We conjecture that if $G$ is a simple compact Lie group with trivial center, then every $d$ -variable non-constant word map with coefficients in $G$ defines a non-constant function…

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…

math.GR2020

Permutation groups with restricted stabilizers

Timothy C. Burness, Aner Shalev

Fix a positive integer $d$ and let $Γ_{d}$ be the class of finite groups without sections isomorphic to the alternating group $A_{d}$ . The groups in $Γ_{d}$ were studied by Babai, Camero…

math.GR2020

McKay graphs for alternating and classical groups

M. W. Liebeck, A. Shalev, Pham Huu Tiep

Let $G$ be a finite group, and $α$ a nontrivial character of $G$ . The McKay graph $M (G, α)$ has the irreducible characters of $G$ as vertices, with an edge from $χ_{1}$ to $…

math.GR2020★ 5 cited

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.GR2019

On the diameters of McKay graphs for finite simple groups

Martin W. Liebeck, Aner Shalev, Pham Huu Tiep

Let $G$ be a finite group, and $α$ a nontrivial character of $G$ . The McKay graph $M (G, α)$ has the irreducible characters of $G$ as vertices, with an edge from $χ_{1}$ to…