FINITE GROUPS WHOSE MAXIMAL SUBGROUPS HAVE ONLY SOLUBLE PROPER SUBGROUPS

FINITE GROUPS WHOSE MAXIMAL SUBGROUPS HAVE ONLY SOLUBLE PROPER SUBGROUPS Full article

Journal

Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304

Output data

Year: 2022, Volume: 19, Number: 1, Pages: 237-240 Pages count : 4 DOI: 10.33048/semi.2022.19.017

Tags

finite group; maximal subgroup; solubility

Authors

Lytkina D.V. ^1,2,3 , Zhurtov A.K. ⁴

Affiliations

1	Sobolev Institute of Mathematics, 4 KOPTYUGA AVE., Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russian Federation
3	Siberian State University of telecommunications and information sciences, 86, Kirova str., Novosibirsk, 630102, Russian Federation
4	Kabardin-Balkarian State University, 173, Chernyshevskogo str., Nalchik, 360004, Russian Federation

Funding (1)

Russian Foundation for Basic Research

20-51-00007

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.

Lytkina D.V. , Zhurtov A.K.
FINITE GROUPS WHOSE MAXIMAL SUBGROUPS HAVE ONLY SOLUBLE PROPER SUBGROUPS
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2022. V.19. N1. P.237-240. DOI: 10.33048/semi.2022.19.017 WOS Scopus РИНЦ

Web of science:	WOS:000793381900005
Scopus:	2-s2.0-85129735154
Elibrary:	49384629

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