MAXIMAL SUBGROUPS OF A SYLOW p-SUBGROUP AND p-NILPOTENCY OF FINITE GROUPS

DOI10.1142/S0219498810003975zbMath1203.20022OpenAlexW2070983965MaRDI QIDQ3577781

Xianhua Li, Yong Xu

Publication date: 23 July 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498810003975

zbMATH Keywords

finite groupsmaximal subgroupsSylow subgroups\(p\)-nilpotencysupplemented subgroupscover-avoiding propertysemi-CAP-groups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Maximal subgroups (20E28) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (1)

THE INFLUENCE OF Φ-S-SUPPLEMENTED SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS

Cites Work

• On semi cover-avoiding subgroups of finite groups.
• Pre-Frattini groups.
• The influence of \(\pi\)-quasinormality of some subgroups of a finite group.
• Finite groups with some subgroups of Sylow subgroups \(c\)-supplemented
• On finite groups with some semi cover-avoiding subgroups.
• A generalisation of Kramer's theorem and its applications
• Conjugacy of Odd order Hall Subgroups
• Endliche Gruppen I

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