Francisk Skorina Gomel State University

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19992025

most citedPerfect control of reflection and refraction using spatially dispersive metasurfaces

566 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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10 papers · 1 filter

math.GR2020★ 7 cited

A generalisation of Schenkman's theorem

Stefanos Aivazidis, Ina N. Safonova, Alexander N. Skiba

Let $G$ be a finite group and let $F$ be a hereditary saturated formation. We denote by $Z_{F} (G)$ the product of all normal subgroups $N$ of $G$ suc…

math.GR2018★ 2 cited

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.GR2017

Characterizations of some classes of finite $σ$ -soluble $P σ T$ -groups

Alexander N. Skiba

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

math.GR2016★ 4 cited

On $Π$ -permutable subgroups of finite groups

Wenbin Guo, A. N. Skiba

Let $σ = {σ_{i} ∣ i \in I}$ be some partition of the set of all primes $P$ and $Π$ a non-empty subset of the set $σ$ . A set $H$ of subgroups of a finite group $G$ is sa…

math.GR2016★ 2 cited

Finite soluble groups with nilpotent wide subgroups

V. S. Monakhov, I. L. Sokhor

A subgroup of a finite group is wide if each prime divisor of the group order divides the subgroup order. We obtain the description of finite soluble groups with no wide subgroups.…

math.GR2015

Arithmetic graphs of finite groups

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

In this paper we introduced an arithmetic graph function which associates with every group G the directed graph whose vertices corresponds to the divisors of |G|. With the help of…

math.GR2014

Finite groups with generalized Ore supplement conditions for primary subgroups

Wenbin Guo, Alexander N. Skiba

We consider some applications of the theory of generalized Ore supplement conditions in the study of finite groups.

math.GR2013

Some new characterizations of $P S T$ -groups

Xiaolan Yi, Alexander N. Skiba

Let $H$ and $B$ be subgroups of a finite group $G$ such that $G = N_{G} (H) B$ . Then we say that $H$ is \emph{quasipermutable} (respectively \emph{ $S$ -quasipermutable}) in $G$ provided…

math.GR2011

Local definitions of formations of finite groups

L. A. Shemetkov

A problem of constructing of local definitions for formations of finite groups is discussed in the article. The author analyzes relations between local definitions of various types…

math.GR2009

On a finite group having a normal series whose factors have bicyclic Sylow subgroups

V. S. Monakhov, A. A. Trofimuk

We consider the structure of a finite groups having a normal series whose factors have bicyclic Sylow subgroups. In particular, we investigated groups of odd order and $A_{4}$ -free g…