Evgeny Khukhro

activity

20082026

most citedAutomorphism invariance and identities

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

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Showing 2025 · math.GRShow all

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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…

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

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