FINITE GROUPS WITH SOME WEAKLY S-SUPPLEMENTED SUBGROUPS

DOI10.1017/S0017089510000649zbMath1247.20028MaRDI QIDQ3000400

Feng-Yan Xie, Kar Ping Shum, Wen-Bin Guo

Publication date: 18 May 2011

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Sylow subgroupssaturated formationspermutable subgroupshypercenterFitting subgroup\(p\)-nilpotent supplementsweakly \(s\)-supplemented subgroupsweak supplements

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) Special subgroups (Frattini, Fitting, etc.) (20D25) Products of subgroups of abstract finite groups (20D40)

Related Items (2)

ON p-NILPOTENCY OF FINITE GROUPS WITH SS-NORMAL SUBGROUPS ⋮ Weakly \(SS\)-quasinormal minimal subgroups and the nilpotency of a finite group.

Cites Work

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• Zwei Klassen von Formationen endlicher auflösbarer Gruppen, deren Halbverband gesättigter Unterformationen genau ein maximales Element besitzt. (Two classes of formations of finite solvable groups the semilattice of saturated subformations of which has exactly one maximal element)
• On \(c\)-normality of certain subgroups of prime power order of finite groups.
• New Criteria forp-Nilpotency of Finite Groups
• The influence of minimal subgroups on the structure of finite groups
• On weakly \(s\)-permutable subgroups of finite groups.

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