A note on a result of Guo and Isaacs about \(p\)-supersolubility of finite groups.

DOI10.1007/s00013-016-0901-7zbMath1342.20020OpenAlexW2339321030MaRDI QIDQ292075

ShouHong Qiao, Adolfo Ballester-Bolinches, Ramón Esteban-Romero

Publication date: 10 June 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-016-0901-7

zbMATH Keywords

finite groupsSylow subgroupssupersolubility\(p\)-supersoluble groupsS-semipermutable 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 (12)

Influence of \(\mathcal M_p\)-supplemented subgroups on the structure of \(p\)-modular subgroups ⋮ On the supersoluble hypercentre of a finite group ⋮ Weakly s-semipermutable subgroups and the -hypercenter of finite groups ⋮ Conditions on p-subgroups implying p-supersolvability ⋮ Criteria for p-supersolvability of a finite group ⋮ Some criteria for \(p\)-supersolvability of a finite group ⋮ Weakly s-semipermutable subgroups and structure of finite groups ⋮ \(p\)-supersoluble hypercenter and \(s\)-semipermutability of subgroups of a finite group ⋮ On weakly -supplemented subgroups of finite groups ⋮ p-Hypercyclically embedding and Π-property of subgroups of finite groups ⋮ Semipermutable subgroups and \(s\)-semipermutable subgroups in finite groups ⋮ Unnamed Item

Cites Work

• Conditions on \(p\)-subgroups implying \(p\)-nilpotence or \(p\)-supersolvability.
• Products of finite groups.
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• On weakly s-semipermutable subgroups of finite groups.
• Semipermutable \(\pi\)-subgroups.
• ON MINIMAL WEAKLY s-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS
• Ons-Semipermutable Maximal and Minimal Subgroups of Sylowp-Subgroups of Finite Groups
• Endliche Gruppen I
• On weakly \(s\)-permutable subgroups of finite groups.

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