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Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 2, Pages 312–320
DOI: https://doi.org/10.33048/smzh.2023.64.206
(Mi smj7763)
 

This article is cited in 3 scientific papers (total in 3 papers)

On the solubility and supersolubility of finite groups

S. F. Kamornikova, V. N. Tyutyanovb

a Gomel State University named after Francisk Skorina
b Gomel Branch of International Institute of Labor and Social Relations
Full-text PDF (291 kB) Citations (3)
References:
Abstract: We give some sufficient tests for the solubility and supersolubility of a finite group $G$ provided that all maximal subgroups of some Sylow subgroups in $G$ are hereditarily $G$-permutable or $G$-permutable in $G$.
Keywords: finite group, Sylow subgroup, maximal subgroup, $G$-permutable subgroup, hereditary $G$-permutable subgroup.
Funding agency Grant number
Belarusian Republican Foundation for Fundamental Research Ф23РНФ-237
Russian Science Foundation
The authors were supported by the BRFFR and the Russian Science Foundation (Project F23RNF–237).
Received: 28.08.2022
Revised: 02.12.2022
Accepted: 10.01.2023
English version:
Siberian Mathematical Journal, 2023, Volume 64, Issue 2, Pages 318–324
DOI: https://doi.org/10.1134/S0037446623020064
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: S. F. Kamornikov, V. N. Tyutyanov, “On the solubility and supersolubility of finite groups”, Sibirsk. Mat. Zh., 64:2 (2023), 312–320; Siberian Math. J., 64:2 (2023), 318–324
Citation in format AMSBIB
\Bibitem{KamTyu23}
\by S.~F.~Kamornikov, V.~N.~Tyutyanov
\paper On the solubility and supersolubility of~finite groups
\jour Sibirsk. Mat. Zh.
\yr 2023
\vol 64
\issue 2
\pages 312--320
\mathnet{http://mi.mathnet.ru/smj7763}
\crossref{https://doi.org/10.33048/smzh.2023.64.206}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4567666}
\transl
\jour Siberian Math. J.
\yr 2023
\vol 64
\issue 2
\pages 318--324
\crossref{https://doi.org/10.1134/S0037446623020064}
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  • https://www.mathnet.ru/eng/smj/v64/i2/p312
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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