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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
Trudy Inst. Mat. i Mekh. UrO RAN, 2023 Volume 29, Number 1, Pages 102–110 (Mi timm1980)
This article is cited in 3 papers

Finite Groups with Hereditarily $G$-Permutable Minimal Subgroups

S. F. Kamornikova, V. N. Tyutyanovb

a Gomel State University named after Francisk Skorina
b Gomel Branch of International University "MITSO"

Abstract: 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.

UDC: 512.542

MSC: 20D10

Received: 25.09.2022
Revised: 18.11.2022
Accepted: 21.11.2022

DOI: 10.21538/0134-4889-2023-29-1-102-110


 English version: Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2023, 321, suppl. 1, S101–S108

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© Steklov Math. Inst. of RAS, 2024