D. Churikov

activity

20182021

collaborators

4 papers

math.GR2021

Structure of $k$ -closures of finite nilpotent permutation groups

Dmitry Churikov

Let $G$ be a permutation group on a set $Ω$ , and $k$ a positive integer. The $k$ -closure $G^{(k)}$ of $G$ is the largest subgroup of $Sym (Ω)$ , with the same as $G$ o…

math.GR2020

Finite totally $k$ -closed groups

Dmitry Churikov, Cheryl E. Praeger

For a positive integer $k$ , a group $G$ is said to be totally $k$ -closed if in each of its faithful permutation representations, say on a set $Ω$ , $G$ is the largest subgroup of $\…

math.GR2020

On $2$ -closed abelian permutation groups

Dmitry Churikov, Ilia Ponomarenko

A permutation group $G \leq Sym (Ω)$ is said to be $2$ -closed if no group $H$ such that $G < H \leq Sym (Ω)$ has the same orbits on $Ω \times Ω$ as $G$ . A simple…

math.GR2018

$2$ -Closure of $\frac{3}{2}$ -transitive group in polynomial time

Andrey V. Vasil'ev, Dmitry Churikov

Let $G$ be a permutation group on a finite set $Ω$ . The $k$ -closure $G^{(k)}$ of the group $G$ is the largest subgroup of $Sym (Ω)$ having the same orbits as $G$ on t…

Structure of k-closures of finite nilpotent permutation groups

Finite totally k-closed groups

On 2-closed abelian permutation groups

2-Closure of 23​-transitive group in polynomial time

Structure of $k$ -closures of finite nilpotent permutation groups

Finite totally $k$ -closed groups

On $2$ -closed abelian permutation groups

$2$ -Closure of $\frac{3}{2}$ -transitive group in polynomial time