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

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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. Bychkov^a, S. F. Kamornikov^a, V. N. Tyutyanov^b

^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}

\edn{https://elibrary.ru/NMFTFX}

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