Some criteria for \(p\)-supersolvability of a finite group

DOI10.1007/S40304-017-0115-8zbMath1380.20020OpenAlexW2747705715MaRDI QIDQ1690617

Liyun Miao, Yang Ming Li

Publication date: 19 January 2018

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40304-017-0115-8

zbMATH Keywords

\(p\)-supersolvability\(S\)-semipermutable subgroup\(S\)-permutable subgroup

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

Related Items (4)

Weakly s-semipermutable subgroups and the -hypercenter of finite groups ⋮ On Π-property of subgroups of a finite group ⋮ Weakly s-semipermutable subgroups and structure of finite groups ⋮ Semipermutable subgroups and \(s\)-semipermutable subgroups in finite groups

Cites Work

• Unnamed Item
• A note on a result of Guo and Isaacs about \(p\)-supersolubility of finite groups.
• Conditions on \(p\)-subgroups implying \(p\)-nilpotence or \(p\)-supersolvability.
• Products of finite groups.
• \(p\)-supersolvability and actions on \(p\)-groups stabilizing certain subgroups.
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Finite soluble groups
• On the supersoluble hypercentre of a finite group
• On weakly s-semipermutable subgroups of finite groups.
• Endliche Gruppen I

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