Some necessary and sufficient conditions for p-nilpotence of finite groups

DOI10.1017/S0004972700037783zbMath1060.20016MaRDI QIDQ4464316

Xiao-Lei Liu, Yan Ming Wang, Hua Quan Wei

Publication date: 27 May 2004

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite groupssaturated formationscomplemented subgroups\(p\)-nilpotent groups

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)

Related Items (4)

A note on Itô’s theorem of p-nilpotence ⋮ On finite groups with some minimal subgroups weakly supplemented ⋮ Unnamed Item ⋮ Nilpotent fusion systems

Cites Work

• Some results on \(p\)-nilpotence and solubility of finite groups
• The influence of minimal subgroups of focal subgroups on the structure of finite groups
• M-groups and 2-groups
• The classification of (J, σ)-irreducible monoids of typeA₄
• Endliche Gruppen I
• On complemented subgroups of finite groups

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