On 𝑐-supplemented maximal and minimal subgroups of Sylow subgroups of finite groups

DOI10.1090/S0002-9939-04-07296-XzbMath1061.20014MaRDI QIDQ4813628

Yan Ming Wang, Hua Quan Wei, Yang Ming Li

Publication date: 13 August 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite groupsmaximal subgroupsSylow subgroupsformationsminimal subgroupsgeneralized Fitting subgroupsupplementation

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 (26)

On weakly s-semipermutable subgroups and the p-nilpotency of finite groups ⋮ \(\mathcal M^*\)-supplemented subgroups of finite groups. ⋮ On weakly \(S\Phi\)-supplemented subgroups of finite groups ⋮ On \(c\)-supplemented subgroups of finite groups. ⋮ Unnamed Item ⋮ Finite Groups Whose Minimal Subgroups arec-Supplemented ⋮ On P_𝔉-Supplemented subgroups of finite groups ⋮ New criteria of supersolvability of finite groups ⋮ New Characterizations ofp-Supersolubility of Finite Groups ⋮ Finite groups with certain kind of subgroups weakly {\(c\)}-supplemented ⋮ On one generalization of modular subgroups ⋮ On \(ss\)-quasinormal and weakly \(s\)-supplemented subgroups of finite groups. ⋮ The c-Normal Embedding Property in Finite Groups (I) ⋮ THE INFLUENCE OF MINIMAL SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS ⋮ FINITE GROUPS WITH SOME 𝔉-SUPPLEMENTED SUBGROUPS ⋮ On two questions of L. A. Shemetkov concerning hypercyclically embedded subgroups of finite groups ⋮ \(\pi\)-quasinormally embedded and c-supplemented subgroup of finite group. ⋮ ℳ-Supplemented Subgroups and Their Properties ⋮ Finite groups with some \(\mathfrak F\)-supplemented subgroups. II. ⋮ An extension of a result on p-supersolvability of finite groups ⋮ Localc*-Supplementation of Some Subgroups in Finite Groups ⋮ The influence of \(\mathcal M\)-supplemented subgroups on the structure of finite groups. ⋮ Semipermutable subgroups and \(s\)-semipermutable subgroups in finite groups ⋮ ON MINIMAL WEAKLY s-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS ⋮ Finite groups with generalized Ore supplement conditions for primary subgroups. ⋮ On SS-supplemented subgroups of some sylow subgroups of finite groups

Cites Work

• Unnamed Item
• Two sufficient conditions for supersolvability of finite groups
• Influence of \(\pi\)-quasinormality on maximal subgroups of Sylow subgroups of Fitting subgroup of a finite group
• Finite soluble groups
• Influence of normality on maximal subgroups of Sylow subgroups of a finite group
• On minimal subgroups of finite groups
• \(C\)-normality of groups and its properties
• Finite groups with some subgroups of Sylow subgroups \(c\)-supplemented
• Finite groups whose minimal subgroups are normal
• ON c-NORMAL MAXIMAL AND MINIMAL SUBGROUPS OF SYLOW SUBGROUPS OF FINITE GROUPS
• A generalisation of Kramer's theorem and its applications
• On maximal subgroups of Sylow subgroups of inite groups
• C-Supplemented subgroups of finite groups
• The influence of minimal subgroups on the structure of a finite group
• Endliche Gruppen I
• The influence of minimal subgroups on the structure of finite groups

This page was built for publication: On 𝑐-supplemented maximal and minimal subgroups of Sylow subgroups of finite groups