Title: Finite groups with hereditarily G-permutable Schmidt subgroups
Authors: Ballester-Bolinches, A.
Kamornikov, S.F.
Pérez-Calabuig, V.
Tyutyanov, V.N.
Каморников, С.Ф.
Тютянов, В.Н.
Keywords: finite group
Schmidt subgroup
hereditarily G-permutable subgroup
Issue Date: 2023
Citation: Finite groups with hereditarily G-permutable Schmidt subgroups / A. Ballester-Bolinches, S.F. Kamornikov, V. Pérez-Calabuig, V.N. Tyutyanov // Bulletin of the Australian Mathematical Society. - 2023. - 28 July. - P. [1-7].
Abstract: A subgroup A of a group G is said to be hereditarily G-permutable with a subgroup B of G, if AB ͯ = B ͯA for some element x ∈〈A, B〉. A subgroup A of a group G is said to be hereditarily G-permutable in G if A is hereditarily G-permutable with every subgroup of G. In this paper, we investigate the structure of a finite group G with all its Schmidt subgroups hereditarily G-permutable.
URI: http://elib.gsu.by/jspui/handle/123456789/62702
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