Viachaslau I. Murashka

activity

20122023

most citedOn partially conjugate-permutable subgroups of finite groups

3 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.GR2023

Arithmetic graphs and the products of finite groups

Viachaslau I. Murashka

The Hawkes graph $Γ_{H} (G)$ of $G$ is the directed graph whose vertex set coincides with $π (G)$ and it has the edge $(p, q)$ whenever $q \in π (G / O_{p^{'}, p} (G))$ . The Sylow graph $Γ_{s} (G)$ …

math.GR2016

On the quasi- $F$ -hypercenter of a finite group

V. I. Murashka

In this paper some properties of the $F^{*}$ -hypercenter of a finite group are studied where $F^{*}$ is the class of all finite quasi- $F$ -groups for a…

math.GR2016

On a generalization of the concept of S-permutable subgroup of a finite group

V. I. Murashka

Let $σ = {π_{i} ∣ i \in I$ and $π_{i} \cap π_{j} = \emptyset$ for all $i \neq = j}$ be a partition of the set of all primes into mutually disjoint subsets. In this paper we considered subgroups…

math.GR2012★ 3 cited

On partially conjugate-permutable subgroups of finite groups

V. I. Murashka, A. F. Vasil'ev

Let $R$ be a subset of a group $G$ . We call a subgroup $H$ of $G$ the $R$ -conjugate-permutable subgroup of $G$ , if $H H^{x} = H^{x} H$ for all $x \in R$ . This concept is a generalizatio…

Arithmetic graphs and the products of finite groups

On the quasi-F-hypercenter of a finite group

On a generalization of the concept of S-permutable subgroup of a finite group

On partially conjugate-permutable subgroups of finite groups

On the quasi- $F$ -hypercenter of a finite group