On an extension of the Frobenius' theorem about \(p\)-nilpotency of a finite group.

DOI10.1007/S00605-013-0570-6zbMath1298.20026OpenAlexW1985635513MaRDI QIDQ405743

Qingjun Kong

Publication date: 5 September 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-013-0570-6

zbMATH Keywords

finite groupsSylow subgroups\(p\)-nilpotent groupsquasinormally embedded 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) Products of subgroups of abstract finite groups (20D40)

Related Items (6)

A note on \(p\)-nilpotency of finite groups. ⋮ A note on a result of Kong about \(p\)-nilpotency ⋮ ON WEAKLY -PERMUTABLY EMBEDDED SUBGROUPS OF FINITE GROUPS ⋮ Conditions on \(p\)-subgroups implying \(p\)-nilpotence or \(p\)-supersolvability. ⋮ On \(S\)-semipermutable or \(S\)-permutably embedded subgroups of finite groups ⋮ A note on \(S\)-quasinormally embedded subgroups.

Cites Work

• On finite groups with prime-power order \(S\)-quasinormally embedded subgroups.
• On \(\pi\)-quasinormally embedded subgroups of finite group.
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• The influence of SS-quasinormality of some subgroups on the structure of finite groups.
• Subgroups permutable with all Sylow subgroups
• Sufficient conditions for supersolubility of finite groups
• The influence of \(\pi\)-quasinormality of some subgroups of a finite group.
• On quasinormal subgroups of finite groups
• On c*-normality and its properties
• Classifying the finite simple groups
• Endliche Gruppen I

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