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Mat. Zametki, 2019, Volume 105, Issue 6, paper published in the English version journal (Mi mz12483)  

This article is cited in 1 scientific paper (total in 1 paper)

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.

Funding Agency Grant Number
National Natural Science Foundation of China 11701223
11871062
11501235
Natural Science Foundation of Jiangsu Province BK20181451
Key Natural Science Foundation of Anhui Education Commission KJ2017A569
Fundamental Research Funds of China West Normal University 17E091
This work was supported by the National Natural Science Foundation of China under grants nos. 11701223, 11871062, and 11501235, the Key Natural Science Foundation of Anhui Education Commission under grant KJ2017A569, the Fundamental Research Funds of China West Normal University under grant 17E091, and the Natural Science Foundation of Jiangsu Province under grant BK20181451.



English version:
Mathematical Notes, 2019, 105:6, 888–893

Bibliographic databases:

Language:

Citation: J. P. Tang, J. Zhang, “Some Results on the <nobr>${\mathcal F}{\Phi}$</nobr>-Hypercenter of Finite Groups”, Math. Notes, 105:6 (2019), 888–893

Citation in format AMSBIB
\Bibitem{TanZha19}
\by J.~P.~Tang, J.~Zhang
\paper Some Results on the
<nobr>${\mathcal F}{\Phi}$</nobr>-Hypercenter of Finite Groups
\jour Math. Notes
\yr 2019
\vol 105
\issue 6
\pages 888--893
\mathnet{http://mi.mathnet.ru/mz12483}
\crossref{https://doi.org/10.1134/S0001434619050262}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3976545}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000473246800026}
\elib{https://elibrary.ru/item.asp?id=42047580}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85068172101}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Ts. Tang, B. Gao, Ts. Chzhan, “O strukture glavnykh faktorov konechnykh grupp s $\mathscr{M}_{p}$-dobavlyaemymi podgruppami”, Sib. matem. zhurn., 61:6 (2020), 1411–1420  mathnet  crossref
  • Математические заметки Mathematical Notes
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