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Matematicheskie Zametki, 2023, Volume 113, Issue 1, paper published in the English version journal (Mi mzm13863)  
Papers published in the English version of the journal

The Structure of Finite Groups with an $\mathcal M$-Permutable Sylow Subgroup

Yuyun Wanga, Wei Liua, Long Miaoab, Jinxing Zhaoc, Xindan Chena

a School of Mathematical Sciences, Yangzhou University, Yangzhou, 225002 China
b College of Science, Hohai University, Nanjing, 210098 China
c School of Mathematical Sciences, Inner Mongolia University, Inner Mongolia, 010021 China
Abstract: In this paper, we study the structure of finite groups in which some Sylow subgroup is $\mathcal M$-permutable. In particular, we mainly reveal the structure of its formation and the properties of $p$-modular subgroups of some quotient groups.
Keywords: Sylow subgroup, $\mathcal M$-permutable subgroup, $p$-modular subgroup, $p$-supersolvable.
Funding agency Grant number
National Natural Science Foundation of China 11871062
12161062
12011530061
Natural Science Foundation of Jiangsu Province BK20181451
The authors wish to thank the support of NSFC (projects no. 11871062 and 12161062), NSFC-RFBR (project no. 12011530061), and the Natural Science Foundation of Jiangsu Province (project no. BK20181451).
Received: 16.04.2022
Revised: 30.08.2022
English version:
Mathematical Notes, 2023, Volume 113, Issue 1, Pages 129–137
DOI: https://doi.org/10.1134/S0001434623010133
Bibliographic databases:
Document Type: Article
Language: English
Citation: Yuyun Wang, Wei Liu, Long Miao, Jinxing Zhao, Xindan Chen, “The Structure of Finite Groups with an $\mathcal M$-Permutable Sylow Subgroup”, Math. Notes, 113:1 (2023), 129–137
Citation in format AMSBIB
\Bibitem{WanLiuMia23}
\by Yuyun~Wang, Wei~Liu, Long~Miao, Jinxing~Zhao, Xindan~Chen
\paper The Structure of Finite Groups with an $\mathcal M$-Permutable Sylow Subgroup
\jour Math. Notes
\yr 2023
\vol 113
\issue 1
\pages 129--137
\mathnet{http://mi.mathnet.ru/mzm13863}
\crossref{https://doi.org/10.1134/S0001434623010133}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85149926109}
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