E. I. Khukhro

activity

20012015

most citedFinite groups and Lie rings with an automorphism of order

2^{n}

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.GR2015★ 1 cited

Almost Engel finite and profinite groups

E. I. Khukhro, P. Shumyatsky

Let $g$ be an element of a group $G$ . For a positive integer $n$ , let $E_{n} (g)$ be the subgroup generated by all commutators $[... [[x, g], g], \dots, g]$ over $x \in G$ , where $g$ is re…

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.GR2001

The Andrews-Curtis Conjecture and Black Box Groups

Alexandre V. Borovik, Evgenii I. Khukhro, Alexei G. Myasnikov

The paper discusses the Andrews-Curtis graph of a normal subgroup N in a group G. The vertices of the graph are k-tuples of elements in N which generate N as a normal subgroup; two…

Almost Engel finite and profinite groups

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

The Andrews-Curtis Conjecture and Black Box Groups

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