E. Khukhro

activity

20132021

most citedLie algebras admitting a metacyclic Frobenius group of automorphisms

4 citations · 5 across the 4 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.GR2020

On finite groups with an automorphism of prime order whose fixed points have bounded Engel sinks

E. I. Khukhro, P. Shumyatsky

A left Engel sink of an element $g$ of a group $G$ is a set $E (g)$ such that for every $x \in G$ all sufficiently long commutators $[... [[x, g], g], \dots, g]$ belong to ${\…

math.GR2020★ 1 cited

The average element order and the number of conjugacy classes of finite groups

E. I. Khukhro, A. Moretó, M. Zarrin

Let $o (G)$ be the average order of the elements of $G$ , where $G$ is a finite group. We show that there is no polynomial lower bound for $o (G)$ in terms of $o (N)$ , where $N\triangl…