In this paper, the structure of a finite group G all of whose minimal subgroups are hereditarily G-permutable is studied.
Keywords: finite group, minimal subgroup, G-permutable subgroup, hereditarily G-permutable subgroup, supersoluble group, soluble group
Received September 25, 2022
Revised November 18, 2022
Accepted November 21, 2022
Funding Agency: The work was supported by Belarusian Republican Foundation for Fundamental Research and the Russian Science Foundation (project F23RNF-237).
Sergei Fedorovich Kamornikov, Dr. Phys.-Math. Sci., Prof., F. Skorina Gomel State University, Gomel, 246028 Republic of Belarus, e-mail: sfkamornikov@mail.ru
Valentin Nikolayevich Tyutyanov, Dr. Phys.-Math. Sci., Prof., Gomel Branch of International University “MITSO”, Gomel, 246029 Republic of Belarus, e-mail: vtutanov@gmail.com
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Cite this article as: S.F. Kamornikov, V.N. Tyutyanov. Finite groups with hereditarily G-permutable minimal subgroups. Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2023, vol. 29, no. 1, pp. 102–110; Proceedings of the Steklov Institute of Mathematics (Suppl.), 2023, Vol. 321, Suppl. 1, pp. S101–S108.
