On W-S-permutable subgroups of finite groups
Gao, Jinxin1 ; Guo, Xiuyun1
1 Shanghai University, China
Rendiconti del Seminario Matematico della Università di Padova, Tome 139 (2018), pp. 129-142.

A subgroup H of a finite group G is said to be W-S-permutable in G if there is a subgroup K of G such that G=HK and H∩K is a nearly S-permutable subgroup of G. In this article, we analyse the structure of a finite group G by using the properties of W-S-permutable subgroups and obtain some new characterizations of finite p-nilpotent groups and finite supersolvable groups. Some known results are generalized

Publié le :
DOI : 10.4171/RSMUP/139-3
Classification : 20, 00
Mots-clés : $W-S$-permutable subgroup, $p$-nilpotent group, maximal subgroup, minimal subgroup, saturated formation
Gao, Jinxin 1 ; Guo, Xiuyun 1

1 Shanghai University, China 
@article{RSMUP_2018__139__129_0,
     author = {Gao, Jinxin and Guo, Xiuyun},
     title = {On $W$-$S$-permutable subgroups of finite groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {129--142},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {139},
     year = {2018},
     doi = {10.4171/RSMUP/139-3},
     mrnumber = {3825182},
     zbl = {1483.20034},
     url = {http://archive.numdam.org/articles/10.4171/RSMUP/139-3/}
}
TY  - JOUR
AU  - Gao, Jinxin
AU  - Guo, Xiuyun
TI  - On $W$-$S$-permutable subgroups of finite groups
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2018
SP  - 129
EP  - 142
VL  - 139
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://archive.numdam.org/articles/10.4171/RSMUP/139-3/
DO  - 10.4171/RSMUP/139-3
ID  - RSMUP_2018__139__129_0
ER  - 
%0 Journal Article
%A Gao, Jinxin
%A Guo, Xiuyun
%T On $W$-$S$-permutable subgroups of finite groups
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2018
%P 129-142
%V 139
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://archive.numdam.org/articles/10.4171/RSMUP/139-3/
%R 10.4171/RSMUP/139-3
%F RSMUP_2018__139__129_0
Gao, Jinxin; Guo, Xiuyun. On $W$-$S$-permutable subgroups of finite groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 139 (2018), pp. 129-142. doi : 10.4171/RSMUP/139-3. http://archive.numdam.org/articles/10.4171/RSMUP/139-3/

Cité par Sources :