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
收藏
页码：51 / 60
页数：10
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