Some sufficient and necessary conditions for p-supersolvablity and p-nilpotence of a finite group

DOI10.1142/S0219498817500529zbMath1375.20016MaRDI QIDQ2978567

Haoran Yu

Publication date: 25 April 2017

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

zbMATH Keywords

\(p\)-nilpotency\(p\)-supersolvablity

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) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (10)

On Φ-Π-property of subgroups of finite groups ⋮ Weakly s-semipermutable subgroups and the -hypercenter of finite groups ⋮ Criteria for p-supersolvability of a finite group ⋮ Finite groups with some \(S \)-permutably embedded subgroups ⋮ Weakly s-semipermutable subgroups and structure of finite groups ⋮ ON WEAKLY -PERMUTABLY EMBEDDED SUBGROUPS OF FINITE GROUPS ⋮ On \(S\)-semipermutable or \(S\)-permutably embedded subgroups of finite groups ⋮ On generalized SΦ-supplemented subgroups of finite groups ⋮ S-semipermutability of subgroups of p-nilpotent residual and p-supersolubility of a finite group ⋮ Unnamed Item

Cites Work

• Unnamed Item
• 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
• Transfer and Tate's theorem.
• Endliche Gruppen I

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