On BNA-normality and solvability of finite groups
Rendiconti del Seminario Matematico della Università di Padova, Tome 136 (2016), pp. 51-60.

Let G be a finite group. A subgroup H of G is called a BNA-subgroup if either H x =H or xH,H x for all xG. 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.

DOI : 10.4171/RSMUP/136-5
Classification : 20
Mots clés : BNA-subgroup, minimal subgroup, soluble group, fitting height, $p$-length
He, Xuanli 1 ; Li, Shirong 1 ; Wang, Yangming 2

1 Guangxi University, NANNING, GUANGXI, CHINA
2 Sun Yat-Sen University, GUANGZHOU, GUANGDONG, CHINA
@article{RSMUP_2016__136__51_0,
     author = {He, Xuanli and Li, Shirong and Wang, Yangming},
     title = {On {BNA-normality} and solvability of finite groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {51--60},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {136},
     year = {2016},
     doi = {10.4171/RSMUP/136-5},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/136-5/}
}
TY  - JOUR
AU  - He, Xuanli
AU  - Li, Shirong
AU  - Wang, Yangming
TI  - On BNA-normality and solvability of finite groups
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2016
SP  - 51
EP  - 60
VL  - 136
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://www.numdam.org/articles/10.4171/RSMUP/136-5/
DO  - 10.4171/RSMUP/136-5
ID  - RSMUP_2016__136__51_0
ER  - 
%0 Journal Article
%A He, Xuanli
%A Li, Shirong
%A Wang, Yangming
%T On BNA-normality and solvability of finite groups
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2016
%P 51-60
%V 136
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://www.numdam.org/articles/10.4171/RSMUP/136-5/
%R 10.4171/RSMUP/136-5
%F RSMUP_2016__136__51_0
He, Xuanli; Li, Shirong; Wang, Yangming. On BNA-normality and solvability of finite groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 136 (2016), pp. 51-60. doi : 10.4171/RSMUP/136-5. http://www.numdam.org/articles/10.4171/RSMUP/136-5/

Cité par Sources :