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
收藏
页码：90 / 96
页数：7
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