On finite groups with a given normal structure

被引：0

作者：

Vasil'ev, Alexander Fedorovich ^{[1
]}

Vasil'eva, Tatsiana Ivanovna ^{[2
]}

Myslovets, Evgeniy Nikolaevich ^{[1
]}

机构：

[1] F Scorina Gomel State Univ, Sovetskaya Str 104, Gomel 246019, BELARUS

[2] Belarusian State Univ Transport, Kirova Str 34, Gomel 246653, BELARUS

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2016年 / 13卷

关键词：

finite group; J-quasinilpotent group; J c-supersoluble group; J ca-soluble group; J ca-supersoluble group; product of normal subgroups; composition formation;

D O I：

10.17377/semi.2016.13.072

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate classes of finite groups which are local analogues of quasinilpotent group, as well as c-supersoluble, ca-solvable and ca-supersoluble groups introduced by V.A. Vedernikov. We obtained the properties of these classes and their application in the study of factorizations of finite groups by their normal and mutually permutable subgroups.

引用

页码：897 / 910

页数：14

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