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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 1, Pages 237–240
DOI: https://doi.org/10.33048/semi.2022.19.017 (Mi semr1494) 		 
Mathematical logic, algebra and number theory

Finite groups whose maximal subgroups have only soluble proper subgroups

D. V. Lytkinaabc, A. Kh. Zhurtovd

a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russia
c Siberian State University of telecommunications and information sciences, 86, Kirova str., Novosibirsk, 630102, Russia
d Kabardin-Balkarian State University, 173, Chernyshevskogo str., Nalchik, 360004, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.017
Abstract: We give a description of a finite group whose maximal subgroups possess only soluble proper subgroups, which implies the answer to the well-known question on composition factors of finite groups, whose second maximal subgroups are soluble.
Keywords: finite group, maximal subgroup, solubility.
Funding agency Grant number
Russian Foundation for Basic Research 20-51-00007
The work of the first author is supported by RFBR, project No. 20-51-00007.
Received March 7, 2022, published April 8, 2022
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 20F16
Language: English
Citation: D. V. Lytkina, A. Kh. Zhurtov, “Finite groups whose maximal subgroups have only soluble proper subgroups”, Sib. Èlektron. Mat. Izv., 19:1 (2022), 237–240
Citation in format AMSBIB
\Bibitem{LytZhu22}
\by D.~V.~Lytkina, A.~Kh.~Zhurtov
\paper Finite groups whose maximal subgroups have only soluble proper subgroups
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 1
\pages 237--240
\mathnet{http://mi.mathnet.ru/semr1494}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4407913}
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