Conditions for $p$-supersolubility and $p$-nilpotency
of finite soluble groups
Colloquium Mathematicum, Tome 133 (2013) no. 1, pp. 85-98
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Let $\mathfrak {Z}$ be a complete set of Sylow subgroups of a group $G$. A subgroup $H$ of $G$ is called $\mathfrak {Z}$-permutably embedded in $G$ if every Sylow subgroup of $H$ is also a Sylow subgroup of some $\mathfrak {Z}$-permutable subgroup of $G$. By using this concept, we obtain some new criteria of $p$-supersolubility and $p$-nilpotency of a finite group.
Keywords:
mathfrak complete set sylow subgroups group subgroup called mathfrak permutably embedded every sylow subgroup sylow subgroup mathfrak permutable subgroup using concept obtain criteria p supersolubility p nilpotency finite group
Affiliations des auteurs :
Wenai Yan 1 ; Baojun Li 2 ; Zhirang Zhang 2
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author = {Wenai Yan and Baojun Li and Zhirang Zhang},
title = {Conditions for $p$-supersolubility and $p$-nilpotency
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journal = {Colloquium Mathematicum},
pages = {85--98},
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volume = {133},
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year = {2013},
doi = {10.4064/cm133-1-6},
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Wenai Yan; Baojun Li; Zhirang Zhang. Conditions for $p$-supersolubility and $p$-nilpotency of finite soluble groups. Colloquium Mathematicum, Tome 133 (2013) no. 1, pp. 85-98. doi: 10.4064/cm133-1-6
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