Finite widely c-supersoluble groups and their mutually permutable products

被引：0
作者：
A. F. Vasil’ev
T. I. Vasil’eva
E. N. Myslovets
机构：
[1] Francisk Skorina Gomel State University,
[2] Belarusian State University of Transport,undefined
来源：
Siberian Mathematical Journal | 2016年 / 57卷
关键词：
finite group; -supersoluble group; w-supersoluble group; widely ; -supersoluble group; composition formation; product of mutually permutable subgroups;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：476 / 485
页数：9
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