SOME NEW CHARACTERISATIONS OF FINITE -SUPERSOLUBLE GROUPS

DOI10.1017/S0004972713000907zbMath1307.20014OpenAlexW2118070682MaRDI QIDQ5419398

Na Tang, Changwen Li, Nanying Yang

Publication date: 6 June 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972713000907

zbMATH Keywords

finite groupsmaximal subgroupsnilpotent groupsSylow subgroupsquasinormal subgroupssubgroup embedding propertiessupplemented subgroupssupersoluble groupsSylow permutability

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) Products of subgroups of abstract finite groups (20D40)

Related Items (1)

A NOTE ON THE -SUPERSOLUBILITY OF FINITE GROUPS

Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Subgroups permutable with all Sylow subgroups
• Sufficient conditions for supersolubility of finite groups
• The influence of \(c\)-normality of subgroups on the structure of finite groups
• Finite groups with \(S\)-supplemented \(p\)-subgroups.
• On \(p\)-nilpotency of finite groups with some subgroups \(\pi\)-quasinormally embedded.
• A generalisation of Kramer's theorem and its applications
• Endliche Gruppen I
• On weakly \(s\)-permutable subgroups of finite groups.

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