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Matematicheskie Zametki, 2024, Volume 116, Issue 2, paper published in the English version journal (Mi mzm14085)  
Papers published in the English version of the journal

Finite groups in which maximal subgroups of Sylow $p$-subgroups are $\mathcal{M}$-permutable

Z. Fana, Z. Gaob, J. Zhaoc, B. Gaod

a Institute of Applied Mathematics, Jiaozuo Normal College, Jiaozuo, Henan Province, China
b School of Mathematics and Statistics, Central China Normal University, Wuhan, Hubei Province, China
c School of Mathematical Sciences, Inner Mongolia University, Hohhot, Inner Mongolia, China
d School of Mathematics and Statistics, Yili Normal University, Yining, Xinjiang, China
Abstract: In this paper, we investigate the structure of finite groups and obtain the classification of nonabelian chief factors by considering $\mathcal{M}$-permutable maximal subgroups of Sylow $p$-subgroups. We also consider the application of such formations in the theory of finite groups.
Keywords: $\mathcal{M}$-permutable subgroups, chief factor, composition factor, Sylow $p$-subgroups.
Funding agency Grant number
National Natural Science Foundation of China 12371018
11871062
12161062
12011530061
Fundamental Research Funds for the Central Universities 1014/423135
Tianshan Youth Talent Project of Xinjiang Uygur Autonomous Region 2020Q023
This research is supported by NSFC (grants nos. 12371018, 11871062, 12161062), Fundamental Research Funds for the Central Universities (grant no. 1014/423135), NSFC–RFBR (grant no. 12011530061), and Tianshan Youth Talent Project of Xinjiang Uygur Autonomous Region (grant no. 2020Q023).
Received: 26.06.2023
Revised: 10.07.2024
English version:
Mathematical Notes, 2024, Volume 116, Issue 2, Pages 342–349
DOI: https://doi.org/10.1134/S0001434624070277
Bibliographic databases:
Document Type: Article
MSC: 20D10, 20D20
Language: English
Citation: Z. Fan, Z. Gao, J. Zhao, B. Gao, “Finite groups in which maximal subgroups of Sylow $p$-subgroups are $\mathcal{M}$-permutable”, Math. Notes, 116:2 (2024), 342–349
Citation in format AMSBIB
\Bibitem{FanGaoZha24}
\by Z.~Fan, Z.~Gao, J.~Zhao, B.~Gao
\paper Finite groups in which maximal subgroups of Sylow $p$-subgroups are $\mathcal{M}$-permutable
\jour Math. Notes
\yr 2024
\vol 116
\issue 2
\pages 342--349
\mathnet{http://mi.mathnet.ru/mzm14085}
\crossref{https://doi.org/10.1134/S0001434624070277}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85206893093}
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