Criteria for p-supersolvability of a finite group

DOI10.1142/S0219498824500282zbMath1529.20026MaRDI QIDQ6089234

Boru Zhang, Jiakuan Lu, Binbin Li

Publication date: 14 December 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

\(S\)-permutable subgroup\(p\)-supersolvable group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Products of subgroups of abstract finite groups (20D40)

Cites Work

• Unnamed Item
• A note on a result of Guo and Isaacs about \(p\)-supersolubility of finite groups.
• Conditions on \(p\)-subgroups implying \(p\)-nilpotence or \(p\)-supersolvability.
• \(p\)-supersolvability and actions on \(p\)-groups stabilizing certain subgroups.
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• A note on \(S\)-semipermutable subgroups of finite groups
• On weakly s-semipermutable subgroups of finite groups.
• Some sufficient and necessary conditions for p-supersolvablity and p-nilpotence of a finite group
• Conditions on p-subgroups implying p-supersolvability
• S-semipermutability of subgroups of p-nilpotent residual and p-supersolubility of a finite group
• Ons-Semipermutable Maximal and Minimal Subgroups of Sylowp-Subgroups of Finite Groups
• Endliche Gruppen I

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