A. Skiba

activity

20112021

most citedOn a lattice characterization of finite soluble

P S T

-groups

1 citations · 1 across the 8 of their papers we have counts for

collaborators

10 papers

math.GR2021

A $G$ -covering subgroup system of a finite group for some classes of $σ$ -soluble groups

A-Ming Liu, W. Guo, Inna N. Safonova +1

Let $F$ be a class of group and $G$ a finite group. Then a set $Σ$ of subgroups of $G$ is called a \emph{ $G$ -covering subgroup system} for the class $F$ if $G\in {\…

math.GR2020

On $σ$ -arithmetic graphs of finite groups

Alexander N. Skiba

Let $G$ be a finite group and $σ$ a partition of the set of all? primes $P$ , that is, $σ = {σ_{i} ∣ i \in I}$ , where $P = ⋃_{i \in I} σ_{i}$ and $σ_i\cap σ_j= \emptys…

math.GR2019★ 1 cited

On a lattice characterization of finite soluble $P S T$ -groups

Zhang Chi, Alexander N. Skiba

Let $F$ be a class of finite groups and $G$ a finite group. Let $L_{F} (G)$ be the set of all subgroups $A$ of $G$ with $A^{G} / A_{G} \in F$ . A…

math.GR2018

One application of the $σ$ -local formations of finite groups

Zhang Chi, Alexander N. Skiba

Throughout this paper, all groups are finite. Let $σ = {σ_{i} ∣ i \in I}$ be some partition of the set of all primes $P$ . If $n$ is an integer, the symbol $σ (n)$ denotes the…

math.GR2018

On one generalization of finite nilpotent groups

Zhang Chi, Alexander N. Skiba

Let $σ = {σ_{i} ∣ i \in I}$ be a partition of the set $P$ of all primes and $G$ a finite group. A chief factor $H / K$ of $G$ is said to be $σ$ -central if the semidirect product…

math.GR2017

On generalized $σ$ -soluble groups

Jianhong Huang, Bin Hu, Alexander N. Skiba

Let $σ = {σ_{i} ∣ i \in I}$ be a partition of the set of all primes $P$ and $G$ a finite group. Let $σ (G) = {σ_{i} : σ_{i} \cap π (G) \neq = \emptyset$ . A set $H$ of subgroups…

A G-covering subgroup system of a finite group for some classes of σ-soluble groups

On σ-arithmetic graphs of finite groups

On a lattice characterization of finite soluble PST-groups

One application of the σ-local formations of finite groups

On one generalization of finite nilpotent groups

On generalized σ-soluble groups

A $G$ -covering subgroup system of a finite group for some classes of $σ$ -soluble groups

On $σ$ -arithmetic graphs of finite groups

On a lattice characterization of finite soluble $P S T$ -groups

One application of the $σ$ -local formations of finite groups

On generalized $σ$ -soluble groups