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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2024, Issue 1(58), Pages 63–67
DOI: https://doi.org/10.54341/20778708_2024_1_58_63 (Mi pfmt951) 		 
MATHEMATICS

Finite groups with hereditarily G-permutable subgroups of small order

P. V. Bychkova, S. F. Kamornikova, V. N. Tyutyanovb

a Francisk Skorina Gomel State University
b Gomel Branch of International University «МIТSО», Gomel
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DOI: https://doi.org/10.54341/20778708_2024_1_58_63
Abstract: The structure of a finite group G is investigated, in which all subgroups of order 2 and 3 as well as all cyclic subgroups of order 4 are hereditarily G-permutable in G.
Keywords: finite group, hereditarily G-permutable subgroup, soluble group.
Funding agency Grant number
Belarusian Republican Foundation for Fundamental Research Ф23РНФ-237
Received: 03.02.2024
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: P. V. Bychkov, S. F. Kamornikov, V. N. Tyutyanov, “Finite groups with hereditarily G-permutable subgroups of small order”, PFMT, 2024, no. 1(58), 63–67
Citation in format AMSBIB
\Bibitem{BycKamTyu24}
\by P.~V.~Bychkov, S.~F.~Kamornikov, V.~N.~Tyutyanov
\paper Finite groups with hereditarily $G$-permutable subgroups of small order
\jour PFMT
\yr 2024
\issue 1(58)
\pages 63--67
\mathnet{http://mi.mathnet.ru/pfmt951}
\crossref{https://doi.org/10.54341/20778708_2024_1_58_63}
\edn{https://elibrary.ru/NMFTFX}
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    		Проблемы физики, математики и техники
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