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This article is cited in 3 scientific papers (total in 3 papers)
On the solubility and supersolubility of finite groups
S. F. Kamornikova, V. N. Tyutyanovb a Gomel State University named after Francisk Skorina
b Gomel Branch of International Institute of Labor and Social Relations
Abstract:
We give some sufficient tests for the solubility and supersolubility of a finite group $G$ provided that all maximal subgroups of some Sylow subgroups in $G$ are hereditarily $G$-permutable or $G$-permutable in $G$.
Keywords:
finite group, Sylow subgroup, maximal subgroup, $G$-permutable subgroup, hereditary $G$-permutable subgroup.
Received: 28.08.2022 Revised: 02.12.2022 Accepted: 10.01.2023
Citation:
S. F. Kamornikov, V. N. Tyutyanov, “On the solubility and supersolubility of finite groups”, Sibirsk. Mat. Zh., 64:2 (2023), 312–320; Siberian Math. J., 64:2 (2023), 318–324
Linking options:
https://www.mathnet.ru/eng/smj7763 https://www.mathnet.ru/eng/smj/v64/i2/p312
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