Evgeny Khukhro

activity

20082026

most citedAutomorphism invariance and identities

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

collaborators

Showing 2026 · math.GRShow all

3 papers · 2 filters

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…