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.
Citation
Xinjian Zhang. Long Miao. Jia Zhang. "New criteria for $p$-nilpotency of finite groups." Bull. Belg. Math. Soc. Simon Stevin 25 (4) 481 - 493, december 2018. https://doi.org/10.36045/bbms/1546570904
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