Finite widely c-supersoluble groups and their mutually permutable products

被引：2
|
作者：
Vasil'ev, A. F. [1 ]
Vasil'eva, T. I. [2 ]
Myslovets, E. N. [1 ]
机构：
[1] Francisk Skorina Gomel State Univ, Gomel, BELARUS
[2] Belarusian State Univ Transport, Gomel, BELARUS
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2016年 / 57卷 / 03期
关键词：
finite group; c-supersoluble group; w-supersoluble group; widely c-supersoluble group; composition formation; product of mutually permutable subgroups;
D O I：
10.1134/S0037446616030083
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A group is c-supersoluble if all its chief factors are isomorphic to simple groups. We introduce the notion of widely c-supersoluble group, which generalizes c-supersolubility. We obtain the properties and find applications of products of mutually permutable subgroups. In particular, we establish the wide c-supersolubility of a finite group that is a product of two mutually permutable c-supersoluble subgroups of coprime indices.
引用
收藏
页码：476 / 485
页数：10
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