Products of F*(G)-subnormal subgroups of finite groups

被引：3

作者：

Murashka V.I. ^{[1
]}

机构：

[1] Francisk Skorina Gomel State University, ul. Sovetskaya 104, Gomel

来源：

Russian Mathematics | 2017年 / 61卷 / 6期

关键词：

F*(G)-subnormal subgroup; finite group; nilpotent group; product of subgroups; quasinilpotent group; supersoluble group;

D O I：

10.3103/S1066369X17060093

中图分类号：

学科分类号：

摘要：

A subgroup H of a finite group G is called F*(G)-subnormal if H is subnormal in HF*(G). We show that if a group Gis a product of two F*(G)-subnormal quasinilpotent subgroups, then G is quasinilpotent. We also study groups G = AB, where A is a nilpotent F*(G)-subnormal subgroup and B is a F*(G)-subnormal supersoluble subgroup. Particularly, we show that such groups G are soluble. © 2017, Allerton Press, Inc.

引用

页码：66 / 71

页数：5

共 10 条

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