J. P. Tang, J. Zhang, “Some Results on the <nobr>${\mathcal F}{\Phi}$</nobr>-Hypercenter of Finite Groups”, Mat. Zametki, 2019, Volume 105, Issue 6,Pages <nobr>888

This article is cited 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. Tang^a, J. Zhang^b

^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.

Language: English