ON MINIMAL WEAKLY s-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

DOI10.1142/S021949881100494XzbMath1237.20020MaRDI QIDQ3117903

Baojun Li, Yang Ming Li

Publication date: 1 March 2012

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

zbMATH Keywords

finite groupsSylow subgroupssaturated formationssupersolvable groupspermutable subgroupshypercenterweakly supplemented subgroups

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

Related Items (11)

A note on a result of Guo and Isaacs about \(p\)-supersolubility of finite groups. ⋮ On weakly \(S\Phi\)-supplemented subgroups of finite groups ⋮ On solvability of finite groups with some ss-supplemented subgroups ⋮ On weakly BNA-subgroups of finite groups ⋮ Finite groups with some \(SE\)-supplemented subgroups. ⋮ On mutually permutable products of finite groups ⋮ \(c^*\)-quasinormally embedded subgroups of finite groups. ⋮ \(s\)-permutably embedded subgroups and \(p\)-supersolvable groups. ⋮ THE INFLUENCE OF MINIMAL SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS ⋮ ON E-SUPPLEMENTED SUBGROUPS AND THE STRUCTURE OF FINITE GROUPS ⋮ Semipermutable subgroups and \(s\)-semipermutable subgroups in finite groups

Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Some open questions in the theory of generalized permutable subgroups.
• Dualization of saturation for locally defined formations
• Characterization of finite groups with some \(S\)-quasinormal subgroups.
• Finite Groups Whose Minimal Subgroups arec-Supplemented
• C-Supplemented subgroups of finite groups
• The influence of minimal subgroups on the structure of a finite group
• On 𝑐-supplemented maximal and minimal subgroups of Sylow subgroups of finite groups
• Endliche Gruppen I
• The influence of minimal subgroups on the structure of finite groups
• On weakly \(s\)-permutable subgroups of finite groups.

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