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

页码：93 / 100

页数：8

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