FINITE GROUPS WITH SOME ℨ-PERMUTABLE SUBGROUPS

DOI10.1017/S0017089509990231zbMath1182.20027OpenAlexW2110977392MaRDI QIDQ3655775

Li Fang Wang, Yan Ming Wang, Yang Ming Li

Publication date: 12 January 2010

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

Full work available at URL: https://doi.org/10.1017/s0017089509990231

zbMATH Keywords

finite groupspermutable subgroupscomplete sets of Sylow subgroupsgeneralised Fitting subgroup

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 (1)

\(\mathfrak Z\)-permutable subgroups of finite groups.

Cites Work

• Unnamed Item
• On \(\pi\)-quasinormally embedded subgroups of finite group.
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Zur Sylowstruktur auflösbarer Gruppen
• \(\mathfrak Z\)-permutable subgroups and \(p\)-nilpotency of finite groups. II.
• Two sufficient conditions for supersolvability of finite groups
• On permutable subgroups of finite groups.
• Groups with maximal subgroups of Sylow subgroups normal
• On \(\mathfrak Z\)-permutability of minimal subgroups of finite groups.
• \(\mathfrak Z\)-permutable subgroups and \(p\)-nilpotency of finite groups.
• Classifying the finite simple groups
• Endliche Gruppen I
• On Permutable Subgroups of Finite Groups II

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