Conditions on \(p\)-subgroups implying \(p\)-nilpotence or \(p\)-supersolvability.

DOI10.1007/S00013-015-0803-0zbMath1344.20032OpenAlexW1440655812MaRDI QIDQ501152

Yanhui Guo, I. M. Isaacs

Publication date: 9 October 2015

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

Full work available at URL: https://doi.org/10.1007/s00013-015-0803-0

zbMATH Keywords

finite groups\(p\)-nilpotence\(p\)-supersolvabilitynormal subgroups of Sylow subgroupsweakly s-permutable 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 (25)

On Φ-Π-property of subgroups of finite groups ⋮ A note on a result of Guo and Isaacs about \(p\)-supersolubility of finite groups. ⋮ On some CAP-subgroups of finite groups ⋮ On Sylowizers in finite groups proposed by Wolfgang Gaschütz ⋮ 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 ⋮ On Π-property of subgroups of a finite group ⋮ Criteria for p-supersolvability of a finite group ⋮ Unnamed Item ⋮ Some criteria for \(p\)-supersolvability of a finite group ⋮ Criteria for supersolvability of saturated fusion systems ⋮ Finite groups with some \(S \)-permutably embedded subgroups ⋮ Weakly s-semipermutable subgroups and structure of finite groups ⋮ Some sufficient and necessary conditions for p-supersolvablity and p-nilpotence of a finite group ⋮ On the structure of chief factors of finite groups with \({\mathcal{M}}_p \)-supplemented subgroups ⋮ \(p\)-supersoluble hypercenter and \(s\)-semipermutability of subgroups of a finite group ⋮ On nearly M-supplemented primary subgroups of finite groups ⋮ On weakly -supplemented subgroups of finite groups ⋮ Properties and \(\mathcal{M}_p\)-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 ⋮ S-semipermutability of subgroups of p-nilpotent residual and p-supersolubility of a finite group ⋮ Unnamed Item

Cites Work

• On an extension of the Frobenius' theorem about \(p\)-nilpotency of a finite group.
• \(p\)-supersolvability and actions on \(p\)-groups stabilizing certain subgroups.
• On Weakly s-Semipermutable Subgroups of Finite Groups
• Endliche Gruppen I
• On weakly \(s\)-permutable subgroups of finite groups.
• On weakly \(s\)-permutable subgroups of finite groups.

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