ON A PERMUTABILITY PROPERTY OF SUBGROUPS OF FINITE SOLUBLE GROUPS

DOI10.1142/S0219199710003798zbMath1197.20017OpenAlexW2079275712MaRDI QIDQ3560161

Xaro Soler-Escrivà, John Cossey, Adolfo Ballester-Bolinches

Publication date: 19 May 2010

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199710003798

zbMATH Keywords

subnormal subgroupspermutable subgroupssystem normalizersfinite supersoluble groupshypercentral embeddings

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) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (3)

On S-semipermutable subgroups and soluble PST-groups ⋮ On a class of finite solvable groups. ⋮ Subnormal, permutable, and embedded subgroups in finite groups.

Cites Work

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• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Zur Vertauschbarkeit und Subnormalität von Untergruppen. (On the permutability and subnormality of subgroups)
• Subgroups permutable with all Sylow subgroups
• Hypercentral embedding and pronormality
• Some permutability properties related to \(\mathfrak F\)-hypercentrally embedded subgroups of finite groups
• On the theory of radicals of distributively generated near-rings. II: The nil-radical
• Normality conditions for quasinormal subgroups in finite groups
• The embedding of quasinormal subgroups in finite groups
• Some new permutability properties of hypercentrally embedded subgroups of finite groups
• Finite soluble groups with permutable subnormal subgroups

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