The influence of minimal subgroups on the structure of finite groups

DOI10.1007/s101149900021zbMath0989.20019OpenAlexW1983439255MaRDI QIDQ5915365

Yan Ming Wang

Publication date: 18 April 2002

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101149900021

zbMATH Keywords

nilpotent groupsminimal subgroupsgeneralized Fitting subgroupc-normal subgroupssupersolvable finite 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) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (15)

FINITE GROUPS WITH WEAKLY S-QUASINORMALLY EMBEDDED SUBGROUPS ⋮ On 𝑐-supplemented maximal and minimal subgroups of Sylow subgroups of finite groups ⋮ Finite groups with \(E\)-supplemented subgroups. ⋮ Weakly \(c\)-permutable subgroups of finite groups. ⋮ On weakly ℋ-subgroups of finite groups III ⋮ On \(\Pi\)-property and \(\Pi\)-normality of subgroups of finite groups. ⋮ Finite groups with weakly \(s\)-semipermutable subgroups. ⋮ FINITE GROUPS WITH SOME WEAKLY S-SUPPLEMENTED SUBGROUPS ⋮ A remark on \(\mathfrak Z\)-permutability of finite groups. ⋮ The c-Normal Embedding Property in Finite Groups (I) ⋮ On \(\pi\)-quasinormally embedded subgroups of finite group. ⋮ C-Ideals of Lie Algebras ⋮ Unnamed Item ⋮ Some notes on the minimal subgroups of Fitting subgroups of finite groups ⋮ The influence of minimal subgroups on the structure of a finite group

Cites Work

• Unnamed Item
• Finite soluble groups
• Automorphisms fixing elements of prime order in finite groups
• \(C\)-normality of groups and its properties
• The influence of \(\pi\)-quasinormality of some subgroups on the structure of a finite group
• Finite groups whose minimal subgroups are normal
• On minimal subgroups of finite groups

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