ON ONE CRITERION FOR THE σ-NILPOTENCY OF A FINITE GROUP

被引：0

作者：

Kamornikov, S. F. ^{[1
]}

Tyutyanov, V. N. ^{[2
]}

机构：

[1] F Skorina Gomel State Univ, Gomel, BELARUS

[2] Mitso Int Univ, Gomel, BELARUS

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2022年 / 63卷 / 01期

关键词：

finite group; Sylow subgroup; G-covering subgroup system; sigma-nilpotent group; COVERING SUBGROUP SYSTEMS;

D O I：

10.1134/S0037446622010086

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be a class of groups and let G be a finite group. We refer to a set Sigma of subgroups of G as a G-covering subgroup system for a class F if G is an element of F whenever Sigma subset of F. Also, we provide some nontrivial G-covering subgroup system for the class F of all sigma-nilpotent groups.

引用

页码：97 / 101

页数：5

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