A criterion of \(p\)-hypercyclically embedded subgroups of finite groups.

DOI10.1016/j.jalgebra.2013.11.007zbMath1300.20030OpenAlexW2052868850MaRDI QIDQ405820

Ning Su, Yang Ming Li, Yan Ming Wang

Publication date: 8 September 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.11.007

zbMATH Keywords

finite groups\(p\)-subgroupschief factors\(\Pi\)-normality\(\Pi\)-property\(p\)-hypercyclically embedded subgroupssubnormal supplements

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) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Products of subgroups of abstract finite groups (20D40)

Related Items (12)

On an open problem of Guo-Skiba ⋮ Weakly s-semipermutable subgroups and the -hypercenter of finite groups ⋮ On Π-property of subgroups of a finite group ⋮ The indices of the \(p\)-Sylowizers and the \(p\)-supersolvability of finite groups ⋮ Local partial covering subgroups in finite groups ⋮ On mutually permutable products of finite groups ⋮ On weakly \(\mathcal {M}\)-supplemented subgroups and the \(\mathcal {F}\)-hypercentre of finite groups ⋮ A note on CAP-subgroups in finite groups ⋮ The semi p -cover-avoidance properties of p -sylowizers in finite groups ⋮ Local covering subgroups in finite groups ⋮ p-Hypercyclically embedding and Π-property of subgroups of finite groups ⋮ Semipermutable subgroups and \(s\)-semipermutable subgroups in finite groups

Cites Work

• A characterization of the hypercyclically embedded subgroups of finite groups.
• On \(\Pi\)-property and \(\Pi\)-normality of subgroups of finite groups.
• On the \(\mathcal X\Phi\)-hypercentre of finite groups.
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• On cover-avoiding subgroups of Sylow subgroups of finite groups.
• Local embeddings of some families of subgroups of finite groups.
• Finite soluble groups
• Subgroups permutable with all Sylow subgroups
• On minimal subgroups of finite groups
• Subgroup lattices of groups
• On the intersection of the \(\mathcal F\)-maximal subgroups and the generalized \(\mathcal F\)-hypercentre of a finite group.
• \(c^\sharp\)-normality of groups and its properties.
• On weakly s-semipermutable subgroups of finite groups.
• Permutable subgroups of infinite groups
• The embedding of quasinormal subgroups in finite groups
• A characterization of hypercyclically embedded subgroups using cover-avoidance property
• Supersoluble Immersion
• Endliche Gruppen I
• On weakly \(s\)-permutable subgroups of finite groups.
• \(p\)-constrainedness and Frattini chief factors
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