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Finite Groups with Hereditarily \(G\)-Permutable Minimal Subgroups

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Abstract

In this paper, the structure of a finite group \(G\) all of whose minimal subgroups are hereditarily \(G\)-permutable is studied.

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Funding

The work was supported by Belarusian Republican Foundation for Fundamental Research and the Russian Science Foundation (project F23RNF-237).

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Authors and Affiliations

  1. Francisk Skorina Gomel State University, 246019, Gomel, Belarus

    S. F. Kamornikov

  2. Gomel Branch of the International University “MITSO”, 246029, Gomel, Belarus

    V. N. Tyutyanov

Authors
  1. S. F. Kamornikov
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  2. V. N. Tyutyanov
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Corresponding authors

Correspondence to S. F. Kamornikov or V. N. Tyutyanov.

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The authors declare that they have no conflicts of interest.

Additional information

Translated from Trudy Instituta Matematiki i Mekhaniki UrO RAN, Vol. 29, No. 1, pp. 102-110, 2023 https://doi.org/10.21538/0134-4889-2023-29-1-102-110.

Translated by E. Vasil’eva

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Kamornikov, S.F., Tyutyanov, V.N. Finite Groups with Hereditarily \(G\)-Permutable Minimal Subgroups. Proc. Steklov Inst. Math. 321 (Suppl 1), S101–S108 (2023). https://doi.org/10.1134/S0081543823030100

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  • DOI: https://doi.org/10.1134/S0081543823030100

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