N. Makarenko

activity

20082022

most citedFrobenius groups of automorphisms and their fixed points

22 citations · 47 across the 10 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.RA2014

Lie type algebras with an automorphism of finite order

N. Yu. Makarenko

An algebra $L$ over a field $F$ , in which product is denoted by $[,]$ , is said to be \textit{ Lie type algebra} if for all elements $a, b, c \in L$ there exist $α, β\in \Bbb…

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…

Lie type algebras with an automorphism of finite order

Locally finite groups containing a 2-element with Chernikov centralizer

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

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

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