Evgeny Khukhro

activity

20082026

most citedAutomorphism invariance and identities

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

collaborators

Showing 2024 · math.GRShow all

2 papers · 2 filters

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…

math.GR2024

Rank type conditions on commutators in finite groups

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

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