Title: New criteria for $p$-nilpotency of finite groups
Abstract: A subgroup $H$ of a group $G$ is said to be weakly $s$-supplementedly embedded in $G$ if there exists a subgroup $T$ of $G$ such that $G=HT$ and $H\cap T\leq H_{se}\leq H$, where $H_{se}$ is an S-permutably embedded subgroup of $G$. In this paper, we investigate the structure of $G$ under the assumption that some subgroups of prime-power order are weakly S-supplementedly embedded in $G$, and some new criteria for $p$-nilpotency are obtained.
Publication Year: 2018
Publication Date: 2018-12-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 1
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