Evgeny Khukhro

activity

20082026

most citedAutomorphism invariance and identities

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

collaborators

Showing 2014Show all

3 papers · 1 filter

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

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)…

Locally finite groups containing a 2-element with Chernikov centralizer

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