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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 3, Pages 576–586
DOI: https://doi.org/10.33048/smzh.2022.63.308 (Mi smj7678) 		 
On maximal subgroups of nonsolvable groups

Sh. Donga, L. Miaob, J. Zhangc, J. Zhaod

a Huaiyin Normal University
b College of Sciences, Hohai University, Nanjing 210098, China
c School of Mathematics и Inформация, China West Normal University, Nanchong 637009, China
d School of Mathematical Sciences, Inner Mongolia University, Hohhot, Inner Mongolia 010021, China
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DOI: https://doi.org/10.33048/smzh.2022.63.308
Abstract: For a maximal subgroup $M$ of a group $G$, the order of a chief factor $H/K$ of $G$ is called the normal index of $M$, where $H$ is a minimal normal supplement to $M$ in $G$. We mainly study the influence of normal index of maximal subgroups on the structure of some nonsolvable groups.
Keywords: normal index, maximal subgroup, nonsolvable group, boundary factor.
Funding agency Grant number
National Natural Science Foundation of China 11871062
12001436
12161062
12011530061
Natural Science Foundation of Jiangsu Province BK20181451
This research was supported by the NSFC (Grants # 11871062, 12001436, and 12161062), the NSFC–RFBR (Grant # 12011530061), and the Natural Science Foundation of the Jiangsu Province (Grant # BK20181451).
Received: 16.07.2019
Revised: 17.11.2020
Accepted: 10.02.2022
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 3, Pages 476–484
DOI: https://doi.org/10.1134/S0037446622030089
Document Type: Article
UDC: 512.54
MSC: 35R30
Language: Russian
Citation: Sh. Dong, L. Miao, J. Zhang, J. Zhao, “On maximal subgroups of nonsolvable groups”, Sibirsk. Mat. Zh., 63:3 (2022), 576–586; Siberian Math. J., 63:3 (2022), 476–484
Citation in format AMSBIB
\Bibitem{DonMiaZha22}
\by Sh.~Dong, L.~Miao, J.~Zhang, J.~Zhao
\paper On maximal subgroups of nonsolvable groups
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 3
\pages 576--586
\mathnet{http://mi.mathnet.ru/smj7678}
\crossref{https://doi.org/10.33048/smzh.2022.63.308}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 3
\pages 476--484
\crossref{https://doi.org/10.1134/S0037446622030089}
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    		Сибирский математический журнал Siberian Mathematical Journal
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