Finite groups with 2-minimal or 2-maximal subgroups are Hall normally embedded subgroups

被引：2

作者：

He, Xuanli ^{[1
]}

Wang, Jing ^{[1
]}

Guo, Qinghong ^{[2
]}

机构：

[1] Guangxi Univ, Coll Math & Informat Sci, Nanning, Guangxi, Peoples R China

[2] Cent South Univ, Sch Math & Stat, New Campus, Changsha 410083, Hunan, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 12期

关键词：

Hall normally embedded subgroup; p-nilpotent group; supersolvable group; COMPLEMENTED SUBGROUPS;

D O I：

10.1080/00927872.2023.2232864

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group. A subgroup H of G is called Hall normally embedded in G if H is a Hall subgroup of the normal closure H-G of H in G. In this paper, we investigate the structure of a finite group G under the assumption that certain 2-minimal subgroups and 2-maximal subgroups are Hall normally embedded in G, respectively. Some conditions for a finite group to be p-nilpotent and supersolvable are given.

引用

页码：5359 / 5368

页数：10

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