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 2020Show all

6 papers · 1 filter

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.RA2020★ 1 cited

Random generation of associative algebras

Damian Sercombe, Aner Shalev

There has been considerable interest in recent decades in questions of random generation of finite and profinite groups, and finite simple groups in particular. In this paper we st…

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.RA2020

Residually finite dimensional algebras and polynomial almost identities

Michael Larsen, Aner Shalev

Let $A$ be a residually finite dimensional algebra (not necessarily associative) over a field $k$ . Suppose first that $k$ is algebraically closed. We show that if $A$ satisfies a h…

math.RA2020

The length and depth of associative algebras

Damian Sercombe, Aner Shalev

Recently there has been considerable interest in studying the length and the depth of finite groups, algebraic groups and Lie groups. In this paper we introduce and study similar n…

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…