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Sibirskii Matematicheskii Zhurnal, 2024, Volume 65, Number 4, Pages 636–644
DOI: https://doi.org/10.33048/smzh.2024.65.403 (Mi smj7879) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Finite groups without elements of order 10: the case of solvable or almost simple groups

J. Guoa, Guo Wen Bina, A. S. Kondrat'evbc, M. S. Nirovad

a School of Mathematics and Statistics, Hainan University
b N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
c Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
d Kabardino-Balkar State University
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DOI: https://doi.org/10.33048/smzh.2024.65.403
Abstract: We find all finite almost simple groups without elements of order $10$ and describe finite solvable groups without elements of order $2p$ for an odd prime $p$.
Keywords: finite group, solvable group, almost simple group, Gruenberg–Kegel graph (prime graph).
Funding agency Grant number
National Natural Science Foundation of China 11961017
12171126
Ministry of Science and Higher Education of the Russian Federation 075-02-2024-1428
This research was supported by the NSFC (Grants nos. 11961017 and 12171126), the Hainan Provincial Natural Science Foundation of China (Grant no. 122RC543), and the Ministry of Science and Higher Education of the Russian Federation (Project “Ural Mathematical Center”; Agreement 075–02–2024–1428).
Received: 30.11.2023
Revised: 15.04.2024
English version:
Siberian Mathematical Journal, 2024, Volume 65, Issue 4, Pages 764–770
DOI: https://doi.org/10.1134/S0037446624040037
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: J. Guo, Guo Wen Bin, A. S. Kondrat'ev, M. S. Nirova, “Finite groups without elements of order 10: the case of solvable or almost simple groups”, Sibirsk. Mat. Zh., 65:4 (2024), 636–644; Siberian Math. J., 65:4 (2024), 764–770
Citation in format AMSBIB
\Bibitem{GuoGuoKon24}
\by J.~Guo, Guo~Wen~Bin, A.~S.~Kondrat'ev, M.~S.~Nirova
\paper Finite groups without elements of order~10: the~case of solvable or almost simple groups
\jour Sibirsk. Mat. Zh.
\yr 2024
\vol 65
\issue 4
\pages 636--644
\mathnet{http://mi.mathnet.ru/smj7879}
\transl
\jour Siberian Math. J.
\yr 2024
\vol 65
\issue 4
\pages 764--770
\crossref{https://doi.org/10.1134/S0037446624040037}
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