Title: On σ-Solubility Criteria for Finite Groups
Authors: Ballester-Bolinches, A.
Kamornikov, S.F.
Pérez-Calabuig, V.
Tyutyanov, V.N.
Каморников, С.Ф.
Тютянов, В.Н.
Keywords: Finite group
Supplementation
σ-Solubility
σ-Nilpotency
Issue Date: 2023
Citation: On σ-Solubility Criteria for Finite Groups / A. Ballester-Bolinches, S.F. Kamornikov, V. Perez-Calabuig, V.N. Tyutyanov // Communication in Mathematics and Statistics. - 2023. - P. 1-9.
Abstract: In this paper, the structure of finite groups in which maximal subgroups of some Sylow subgroups have a σ-soluble or σ-nilpotent supplement, where σ is a partition of the set of all prime numbers, is investigated. Some solubility, σ-solubility and σ-nilpotency criteria leading to some significant improvements of earlier results are given.
URI: http://elib.gsu.by/jspui/handle/123456789/54343
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