J. P. Tang, J. Zhang, “Some Results on the ${\mathcal F}{\Phi}$-Hypercenter of Finite Groups”, Матем. заметки, 2019, том 105, выпуск 6,страницы 888

Эта публикация цитируется в 2 статьях

Статьи, опубликованные в английской версии журнала

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

Аннотация: 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.

Ключевые слова: $p$-supersolvable, ${\mathcal F}{\Phi}$-hypercenter, $\mathcal{M}_p$-supplemented, Sylow subgroup, finite group.

Язык публикации: английский