On BNA-normality and solvability of finite groups

被引：2

作者：

He, X. ^{[1
,2
]}

Li, S. ^{[1
]}

Wang, Y. ^{[3
,4
]}

机构：

[1] Guangxi Univ, Dept Math, Nanning 530004, Guangxi, Peoples R China

[2] Guangxi Coll & Univ Key Lab Math & Its Applicat, Nanning 530004, Peoples R China

[3] Sun Yat Sen Univ, Lingnan Coll, Guangzhou 510275, Guangdong, Peoples R China

[4] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2016年 / 136卷

关键词：

BNA-subgroup; minimal subgroup; soluble group; fitting height; p-length; ABNORMAL SUBGROUPS; MINIMAL SUBGROUPS;

D O I：

10.4171/RSMUP/136-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group. A subgroup H of G is called a BNA-subgroup if either H-x = H or x is an element of < H; H-x > for all x is an element of G. In this paper, some interesting properties of BNA-subgroups are given and, as applications, the structure of the finite groups in which all minimal subgroups are BNA-subgroups have been characterized.

引用

页码：51 / 60

页数：10

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