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Matematicheskie Zametki, 2019, Volume 105, Issue 6, paper published in the English version journal
(Mi mzm12483)
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This article is cited in 2 scientific papers (total in 2 papers)
Papers published in the English version of the journal
Some Results on the
${\mathcal F}{\Phi}$-Hypercenter of Finite Groups
J. P. Tanga, J. Zhangb a Wuxi Institute of Technology, Wuxi, 214121 China
b School of Mathematics and Information, China West Normal University, Nanchong, 637009 China
Abstract:
A subgroup $H$ of $G$ is said to be $\mathcal{M}_p$-supplemented in $G$ if there exists a subgroup $B$ of $G$ such that $G=HB$ and $TB<G$ for every maximal subgroup $T$ of $H$ with $|H:T|=p^{\alpha}$. In this paper, we will investigate the structure of $Z_{\mathcal{F}}{\Phi}(G)$ by using $\mathcal{M}_p$-supplemented subgroups.
Keywords:
$p$-supersolvable,
${\mathcal F}{\Phi}$-hypercenter,
$\mathcal{M}_p$-supplemented, Sylow subgroup, finite group.
Citation:
J. P. Tang, J. Zhang, “Some Results on the
${\mathcal F}{\Phi}$-Hypercenter of Finite Groups”, Math. Notes, 105:6 (2019), 888–893
Linking options:
https://www.mathnet.ru/eng/mzm12483
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Abstract page: | 120 |
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