Finite groups with hall subnormally embedded Schmidt subgroups

被引：2
|
作者：
Monakhov, Victor S. [1 ]
Kniahina, Viktoryia N. [2 ]
机构：
[1] Gomel F Scorina State Univ, Dept Algebra & Geometry, Gomel, BELARUS
[2] Gomel F Scorina State Univ, Dept Fundamental & Appl Math, Gomel, BELARUS
来源：
COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 01期
关键词：
Derived subgroup; finite group; hall subgroup; nilpotent subgroup; subnormal subgroup;
D O I：
10.1080/00927872.2019.1632332
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A subgroup H of a finite group G is said to be Hall subnormally embedded in G if there is a subnormal subgroup N of G such that H is a Hall subgroup of N. A Schmidt group is a finite non-nilpotent group whose all proper subgroups are nilpotent. We prove the nilpotency of the second derived subgroup of a finite group in which each Schmidt subgroup is Hall subnormally embedded.
引用
收藏
页码：93 / 100
页数：8
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