On finite groups with Hall normally embedded Schmidt subgroups

被引：0

作者：

Kniahina, Viktoryia N. ^{[1
]}

Monakhov, Victor S. ^{[1
]}

机构：

[1] Francisk Skorina Gomel State Univ, Dept Math, Sovetskaya Str 104, Gomel 246019, BELARUS

来源：

ALGEBRA & DISCRETE MATHEMATICS | 2018年 / 26卷 / 01期

关键词：

finite group; Hall subgroup; normal subgroup; derived subgroup; nilpotent subgroup;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A subgroup H of a finite group G is said to be Hall normally embedded in G if there is a normal subgroup N of G such that H is a Hall subgroup of N. A Schmidt group is a non-nilpotent finite group whose all proper subgroups are nilpotent. In this paper, we prove that if each Schmidt subgroup of a finite group G is Hall normally embedded in G, then the derived subgroup of G is nilpotent.

引用

页码：90 / 96

页数：7

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