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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 3, Pages 178–187
DOI: https://doi.org/10.21538/0134-4889-2016-22-3-178-187 (Mi timm1333) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Nonabelian composition factors of a finite group whose maximal subgroups of odd indices are Hall subgroups

N. V. Maslovaab, D. O. Revincd

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
d Novosibirsk State University, Mechanics and Mathematics Department
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DOI: https://doi.org/10.21538/0134-4889-2016-22-3-178-187
Abstract: We obtain a description of nonabelian composition factors of a finite nonsolvable group in which any maximal subgroup of odd index is a Hall subgroup.
Keywords: finite group, maximal subgroup, Hall subgroup, composition factor, odd index.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-6118.2016.1
02.A03.21.0006
Ural Branch of the Russian Academy of Sciences 15-16-1-5
Dynasty Foundation
Received: 17.05.2016
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 299, Issue 1, Pages 148–157
DOI: https://doi.org/10.1134/S0081543817090176
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 20D20, 20D30, 20D60
Language: Russian
Citation: N. V. Maslova, D. O. Revin, “Nonabelian composition factors of a finite group whose maximal subgroups of odd indices are Hall subgroups”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 3, 2016, 178–187; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 148–157
Citation in format AMSBIB
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\paper Nonabelian composition factors of a finite group whose maximal subgroups of odd indices are Hall subgroups
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\vol 22
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\pages 178--187
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\crossref{https://doi.org/10.21538/0134-4889-2016-22-3-178-187}
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\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
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\issue , suppl. 1
\pages 148--157
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  • https://www.mathnet.ru/eng/timm/v22/i3/p178
    • This publication is cited in the following 1 articles:
    1. V. A. Vedernikov, “Nonsolvable finite groups whose all nonsolvable superlocals are hall subgroups”, Siberian Math. J., 61:5 (2020), 778–794  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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