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 
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     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://www.numdam.org/articles/10.4171/RSMUP/139-3/}
}
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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://www.numdam.org/articles/10.4171/RSMUP/139-3/

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