Local embeddings of some families of subgroups of finite groups.

DOI10.1007/S10114-009-8623-4zbMath1190.20014OpenAlexW2024423972MaRDI QIDQ1034312

Alexander N. Skiba, Luis M. Ezquerro, Adolfo Ballester-Bolinches

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-8623-4

zbMATH Keywords

finite groupsmaximal subgroupssaturated formationschief seriessolubilitysupersolubility\(p\)-supersoluble groupsCAP subgroupscover-avoidance propertysemi-cover-avoiding property

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) Maximal subgroups (20E28) Series and lattices of subgroups (20D30)

Related Items (38)

A note on weakly -normal subgroups of finite groups ⋮ On \(m\)-embedded primary subgroups of finite groups ⋮ A question on weakly ℋ-subgroups of a finite group ⋮ On an open problem of Guo-Skiba ⋮ On some results in the theory of finite partially soluble groups ⋮ On some CAP-subgroups of finite groups ⋮ On weakly BNA-subgroups of finite groups ⋮ On second maximal subgroups of Sylow subgroups of finite groups. ⋮ On Π-property of subgroups of a finite group ⋮ A question on partial CAP-subgroups of finite groups. ⋮ A generalized CAP-subgroup of a finite group. ⋮ A criterion of \(p\)-hypercyclically embedded subgroups of finite groups. ⋮ On partial CAP∗-subgroups of finite groups ⋮ Criteria for the \(p\)-solvability and \(p\)-supersolvability of finite groups. ⋮ On weakly s-semipermutable subgroups of finite groups. ⋮ A NOTE ON THE -SUPERSOLUBILITY OF FINITE GROUPS ⋮ On finite groups with some primary subgroups satisfying partialS-Π-property ⋮ On weakly ℋ-subgroups and p-nilpotency of finite groups ⋮ Finite groups with some CAP-subgroups. ⋮ A Generalization of Cover-Avoiding Properties in Finite Groups ⋮ On second minimal subgroups of Sylow subgroups of finite groups. ⋮ On generalizing transitivity, persistence, and sensitivity. ⋮ A note on \(\mathcal HC\)-subgroups of finite groups ⋮ \(p\)-supersoluble hypercenter and \(s\)-semipermutability of subgroups of a finite group ⋮ On weakly \(\mathcal {M}\)-supplemented subgroups and the \(\mathcal {F}\)-hypercentre of finite groups ⋮ Gradewise properties of subgroups of finite groups. ⋮ Finite groups with some generalized CAP-subgroups ⋮ The semi p -cover-avoidance properties of p -sylowizers in finite groups ⋮ On cover-avoiding subgroups of Sylow subgroups of finite groups. ⋮ On weakly \(s\)-semipermutable or \(ss\)-quasinormal subgroups of finite groups ⋮ Local covering subgroups in finite groups ⋮ An extension of a result on p-supersolvability of finite groups ⋮ p-Hypercyclically embedding and Π-property of subgroups of finite groups ⋮ Finite groups with systems of \(\Sigma\)-embedded subgroups. ⋮ Semipermutable subgroups and \(s\)-semipermutable subgroups in finite groups ⋮ S-semipermutability of subgroups of p-nilpotent residual and p-supersolubility of a finite group ⋮ On boundary factors and traces of subgroups of finite groups. ⋮ On partial CAP-subgroups of finite groups.

Cites Work

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• A Note on Supersoluble Groups
• Endliche Gruppen I
• \(p\)-constrainedness and Frattini chief factors

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