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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 1, Pages 232–236
DOI: https://doi.org/10.33048/smzh.2022.63.117 (Mi smj7654) 		 
On some properties of $X$-semipermutable subgroups

J. Zhanga, G. Y. Chenb

a School of Mathematics and Information, China West Normal University, Nanchong 637009, People's Republic of China
b School of Mathematics and Statistics, Southwest University, Chongqing 400715, People's Republic of China
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DOI: https://doi.org/10.33048/smzh.2022.63.117
Abstract: Inspired by the research of Guo, Shum, and Skiba, we investigated the relationship between the classification of the nonabelian composition factor of a group (solvability of a group) and the $X$-semipermutability of a maximal subgroup (a second maximal subgroup). The first theorem answered the question by Li and Yu to some extent.
Keywords: $X$-semipermutability, second maximal subgroups, composition factor, solvability.
Funding agency Grant number
National Natural Science Foundation of China 12071376
12001436
11971391
Fundamental Research Funds of China West Normal University 17E091
18B032
Ministry of Education of China
This work was supported by the NSFC (Grants nos. 12071376, 12001436, and 11971391) and the Chunhui Plan Cooperative Scientific Research Project of the Ministry of Education of the People’s Republic of China and the Fundamental Research Funds of China West Normal University (Grants nos. 17E091 and 18B032).
Received: 23.02.2021
Revised: 08.08.2021
Accepted: 11.08.2021
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 1, Pages 193–196
DOI: https://doi.org/10.1134/S0037446622010177
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: J. Zhang, G. Y. Chen, “On some properties of $X$-semipermutable subgroups”, Sibirsk. Mat. Zh., 63:1 (2022), 232–236; Siberian Math. J., 63:1 (2022), 193–196
Citation in format AMSBIB
\Bibitem{ZhaChe22}
\by J.~Zhang, G.~Y.~Chen
\paper On some properties of $X$-semipermutable subgroups
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 1
\pages 232--236
\mathnet{http://mi.mathnet.ru/smj7654}
\crossref{https://doi.org/10.33048/smzh.2022.63.117}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4440278}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 1
\pages 193--196
\crossref{https://doi.org/10.1134/S0037446622010177}
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