Evgeny Khukhro

activity

20172019

most citedFinite groups with Engel sinks of bounded rank

1 citations · 1 across the 1 of their papers we have counts for

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math.GR2019

Compact groups with countable Engel sinks

E. I. Khukhro, P. Shumyatsky

An 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…

math.GR2018

Profinite groups with an automorphism whose fixed points are right Engel

C. Acciarri, E. I. Khukhro, P. Shumyatsky

An element $g$ of a group $G$ is said to be right Engel if for every $x \in G$ there is a number $n = n (g, x)$ such that $[g,_{n} x] = 1$ . We prove that if a profinite group $G$ admits…

math.GR2018

Right Engel-type subgroups and length parameters of finite groups

E. I. Khukhro, P. Shumyatsky, G. Traustason

Let $g$ be an element of a finite group $G$ and let $R_{n} (g)$ be the subgroup generated by all the right Engel values $[g,_{n} x]$ over $x \in G$ . In the case when $G$ is soluble…

math.GR2017★ 1 cited

Finite groups with Engel sinks of bounded rank

E. I. Khukhro, P. Shumyatsky

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