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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 1, Pages 221–225
DOI: https://doi.org/10.33048/smzh.2021.62.119 (Mi smj7551) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Some notes on the second maximal subgroups of finite groups

J. Zhanga, Zh. Gaob, L. Miaob

a School of Mathematics and Information, China West Normal University, Nanchong, People’s Republic of China
b School of Mathematical Sciences, Yangzhou University Yangzhou, People’s Republic of China
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DOI: https://doi.org/10.33048/smzh.2021.62.119
Abstract: Under study are the arithmetic properties of second maximal subgroups of finite groups. Generally speaking, we investigated the problem by Monakhov [1, Problem 19.54] and developed the research of Meng and Guo [2, Theorem B] by weakening the condition of solvability.
Keywords: second maximal subgroup, trace, nonvanishing element.
Funding agency Grant number
National Natural Science Foundation of China 11871062
12001436
12011530061
Natural Science Foundation of Jiangsu Province BK20181451
Fundamental Research Funds of China West Normal University 17E091
18B032
This research is supported by the NSFC (Grants # 11871062 and 12001436), the NSFC–RFBR (Grant # 12011530061), the Chunhui Plan Cooperative Scientific Research Project of the Ministry of Education of the People’s Republic of China and the Natural Science Foundation of Jiangsu Province (Grant # BK20181451), and the Fundamental Research Funds of China West Normal University (Grants # 17E091 and 18B032).
Received: 21.01.2020
Revised: 21.01.2020
Accepted: 17.06.2020
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 1, Pages 178–181
DOI: https://doi.org/10.1134/S0037446621010195
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: J. Zhang, Zh. Gao, L. Miao, “Some notes on the second maximal subgroups of finite groups”, Sibirsk. Mat. Zh., 62:1 (2021), 221–225; Siberian Math. J., 62:1 (2021), 178–181
Citation in format AMSBIB
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