E. I. Khukhro

most citedFinite groups and Lie rings with an automorphism of order

2^{n}

2 citations · 2 across the 5 of their papers we have counts for

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math.GR2015

On finite soluble groups with almost fixed-point-free automorphisms of non-coprime order

E. I. Khukhro

It is proved that if a finite $p$ -soluble group $G$ admits an automorphism $φ$ of order $p^{n}$ having at most $m$ fixed points on every $φ$ -invariant elementary abelian $p^{'}$ -section…

math.GR2014

Locally finite groups containing a $2$ -element with Chernikov centralizer

E. I. Khukhro, N. Yu. Makarenko, P. Shumyatsky

Suppose that a locally finite group $G$ has a $2$ -element $g$ with Chernikov centralizer. It is proved that if the involution in $⟨ g ⟩$ has nilpotent centralizer, then…

math.GR2014★ 2 cited

Finite groups and Lie rings with an automorphism of order $2^{n}$

E. I. Khukhro, N. Yu. Makarenko, P. Shumyatsky

Suppose that a finite group $G$ admits an automorphism $φ$ of order $2^{n}$ such that the fixed-point subgroup $C_{G} (φ^{2^{n - 1}})$ of the involution $φ^{2^{n - 1}}$ is nilpotent of clas…

math.GR2014

On the length of finite factorized groups

E. I. Khukhro, P. Shumyatsky

The nonsoluble length $λ (G)$ of a finite group $G$ is defined as the number of nonsoluble factors in a shortest normal series each of whose factors either is soluble or is a direct…

math.GR2014

On the length of finite groups and of fixed points

E. I. Khukhro, P. Shumyatsky

The generalized Fitting height of a finite group $G$ is the least number $h = h^{*} (G)$ such that $F_{h}^{*} (G) = G$ , where the $F_{i}^{*} (G)$ is the generalized Fitting series: $F^*_1(G)=F^*(G)…

On finite soluble groups with almost fixed-point-free automorphisms of non-coprime order

Locally finite groups containing a 2-element with Chernikov centralizer

Finite groups and Lie rings with an automorphism of order 2n

On the length of finite factorized groups

On the length of finite groups and of fixed points

Locally finite groups containing a $2$ -element with Chernikov centralizer

Finite groups and Lie rings with an automorphism of order $2^{n}$