On Π-property of subgroups of a finite group

DOI10.1142/S0219498822501560MaRDI QIDQ5100106

Xinwei Wu, Xianhua Li

Publication date: 29 August 2022

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

zbMATH Keywords

product\(p\)-nilpotent\(p\)-supersolvableformation residual

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) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• A criterion of \(p\)-hypercyclically embedded subgroups of finite groups.
• Conditions on \(p\)-subgroups implying \(p\)-nilpotence or \(p\)-supersolvability.
• Products of finite groups.
• On \(\Pi\)-property and \(\Pi\)-normality of subgroups of finite groups.
• \(p\)-supersolvability and actions on \(p\)-groups stabilizing certain subgroups.
• Local embeddings of some families of subgroups of finite groups.
• Some criteria for \(p\)-supersolvability of a finite group
• \(p\)-supersoluble hypercenter and \(s\)-semipermutability of subgroups of a finite group
• On generalized \(\Pi\)-property of subgroups of finite groups
• p-Hypercyclically embedding and Π-property of subgroups of finite groups

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