Some new permutability properties of hypercentrally embedded subgroups of finite groups

DOI10.1017/S1446788700010478zbMath1107.20018OpenAlexW2236111860MaRDI QIDQ3372692

Xaro Soler-Escrivà, Luis M. Ezquerro

Publication date: 10 March 2006

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700010478

zbMATH Keywords

saturated formationsfactorizationspermutabilityintersections of maximal subgroupshypercentrally embedded subgroupsintersections of pronormal subgroupsprefrattini type subgroups

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (4)

Prefrattini subgroups and crowns ⋮ On second minimal subgroups of Sylow subgroups of finite groups. ⋮ ON A PERMUTABILITY PROPERTY OF SUBGROUPS OF FINITE SOLUBLE GROUPS ⋮ On certain distributive lattices of subgroups of finite soluble groups.

Cites Work

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• \({\mathfrak h}\)-normalizers and local definitions of saturated formations of finite groups
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Pre-Frattini groups.
• Two sufficient conditions for supersolvability of finite groups
• Finite soluble groups
• Subgroups permutable with all Sylow subgroups
• Hypercentral embedding and pronormality
• Sufficient conditions for supersolubility of finite groups
• Some permutability properties related to \(\mathfrak F\)-hypercentrally embedded subgroups of finite groups
• Notes on π-Quasi-Normal Subgroups in Finite Groups
• On \(S\)-quasinormally embedded subgroups of finite groups
• On maximal subgroups of finite groups

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