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Sibirskii Matematicheskii Zhurnal, 2024, Volume 65, Number 1, Pages 74–86
DOI: https://doi.org/10.33048/smzh.2024.65.107 (Mi smj7841) 		 
Finite groups with $S$-conditionally permutable Schmidt subgroups

S. F. Kamornikova, V. N. Tyutyanovb, O. L. Shemetkovac

a Gomel State University named after Francisk Skorina
b Gomel Branch of International University "MITSO"
c Plekhanov Russian State University of Economics, Moscow
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DOI: https://doi.org/10.33048/smzh.2024.65.107
Abstract: A subgroup $H$ in a finite group $G$ is $S$-conditionally permutable if for every $p\in \pi (G)$ there exists a Sylow $p$-subgroup $P$ in $G$ such that $HP=PH$. We study the structure of a finite group $G$ whose all Schmidt subgroups are $S$-conditionally permutable.
Keywords: finite subgroup, Sylow subgroup, Schmidt subgroup, $S$-conditionally permutable subgroup.
Funding agency Grant number
Belarusian Republican Foundation for Fundamental Research Ф23РНФ-237
Russian Science Foundation
Kamornikov and Tyutyanov were supported by the BRFFR and RSF (Project F20R–291).
Received: 15.07.2023
Revised: 04.09.2023
Accepted: 25.09.2023
English version:
Siberian Mathematical Journal, 2024, Volume 65, Issue 1, Pages 62–71
DOI: https://doi.org/10.1134/S0037446624010075
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: S. F. Kamornikov, V. N. Tyutyanov, O. L. Shemetkova, “Finite groups with $S$-conditionally permutable Schmidt subgroups”, Sibirsk. Mat. Zh., 65:1 (2024), 74–86; Siberian Math. J., 65:1 (2024), 62–71
Citation in format AMSBIB
\Bibitem{KamTyuShe24}
\by S.~F.~Kamornikov, V.~N.~Tyutyanov, O.~L.~Shemetkova
\paper Finite groups with $S$-conditionally permutable Schmidt subgroups
\jour Sibirsk. Mat. Zh.
\yr 2024
\vol 65
\issue 1
\pages 74--86
\mathnet{http://mi.mathnet.ru/smj7841}
\transl
\jour Siberian Math. J.
\yr 2024
\vol 65
\issue 1
\pages 62--71
\crossref{https://doi.org/10.1134/S0037446624010075}
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