Evgeny Khukhro

activity

20082026

most citedAutomorphism invariance and identities

8 citations · 18 across the 17 of their papers we have counts for

collaborators

19 papers

math.GR2026

Rank properties of commutators in finite groups

Cristina Acciarri, Robert M. Guralnick, Evgeny Khukhro +1

For a subset $S$ of a finite group $G$ , let $I_{G} (S)$ denote the set of commutators $[g, x] = g^{- 1} g^{x}$ , where $g \in G$ and $x \in S$ . Suppose that a finite group $G$ has a Carter subg…

math.GR2026

Length parameters of finite groups and their Hall subgroups

Evgeny Khukhro, Pavel Shumyatsky

Let $π$ be a set of primes containing $2$ and an odd prime $p$ . It is proved that if a finite group $G$ has a Hall $π$ -subgroup $H$ , then the non- $p$ -soluble length of $G$ is bound…

math.GR2026

On finite groups containing an element whose Engel sink is small

Evgeny Khukhro, Pavel Shumyatsky

For an element $g$ of a group $G$ , a right Engel sink of $g$ is a subset of $G$ containing all sufficiently long commutators $[... [[g, x], x], \dots, x]$ for all $x \in G$ . A left Eng…

math.GR2025

On a problem of B. Hartley about a small centralizer in finite and locally finite groups

Evgeny Khukhro

It is proved that if a finite group $G$ has an automorphism of order $n$ with $m$ fixed points, then $G$ has a soluble subgroup whose index and Fitting height are bounded in terms…

math.GR2025

Local--global generation property of commutators in finite $π$ -soluble groups

Cristina Acciarri, Robert M. Guralnick, Evgeny Khukhro +1

For a group $A$ acting by automorphisms on a group $G$ , let $I_{G} (A)$ denote the set of commutators $[g, a] = g^{- 1} g^{a}$ , where $g \in G$ and $a \in A$ , so that $[G, A]$ is the subgroup g…

math.GR2024

Compact groups in which commutators have finite right Engel sinks

Evgeny Khukhro, Pavel Shumyatsky

A right Engel sink of an element $g$ of a group $G$ is a subset containing all sufficiently long commutators $[... [[g, x], x], \dots, x]$ . We prove that if $G$ is a compact group in w…

Rank properties of commutators in finite groups

Length parameters of finite groups and their Hall subgroups

On finite groups containing an element whose Engel sink is small

On a problem of B. Hartley about a small centralizer in finite and locally finite groups

Local--global generation property of commutators in finite π-soluble groups

Compact groups in which commutators have finite right Engel sinks

Local--global generation property of commutators in finite $π$ -soluble groups