A Criterion ofp-Nilpotency of Finite Groups

DOI10.1080/00927872.2011.592519zbMath1259.20029OpenAlexW2034936908MaRDI QIDQ4902938

Xianhua Li, Xinjian Zhang

Publication date: 18 January 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2011.592519

zbMATH Keywords

finite groupsmaximal subgroupsnormalizersSylow subgroups\(p\)-nilpotent groupsweakly permutably embedded subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (3)

On weakly \(s\)-permutably embedded subgroups of finite groups. II. ⋮ ON WEAKLY -PERMUTABLY EMBEDDED SUBGROUPS OF FINITE GROUPS ⋮ \(p\)-supersolvability and actions on \(p\)-groups stabilizing certain subgroups.

Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Sufficient conditions for supersolubility of finite groups
• The influence of \(\pi\)-quasinormality of some subgroups of a finite group.
• On \(p\)-nilpotence of finite groups.
• \(C\)-normality of groups and its properties
• Nilpotent quotient groups
• On quasinormal subgroups of finite groups
• On c*-normality and its properties
• On Weaklys-permutably Embedded Subgroups of Finite Groups
• Endliche Gruppen I
• On weakly \(s\)-permutable subgroups of finite groups.

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