Finite solvable groups in which semi-normality is a transitive relation.

DOI10.1007/S13366-012-0099-1zbMath1287.20023OpenAlexW1981276307MaRDI QIDQ375923

Arnold D. Feldman, James C. Beidleman, Adolfo Ballester-Bolinches, Hermann Heineken, Matthew F. Ragland

Publication date: 1 November 2013

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-012-0099-1

zbMATH Keywords

finite solvable groupsproducts of subgroupspermutable subgroupssemipermutable subgroups\(S\)-semipermutabilitypermutability conditionsSNT-groupstransitive semipermutability

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 (4)

Some new characterizations of PST-groups. ⋮ Some special classes of finite soluble PST-groups. ⋮ Propermutable characterizations of finite soluble \(PST\)-groups and \(PT\)-groups. ⋮ SEMIPERMUTABILITY IN GENERALISED SOLUBLE GROUPS

Cites Work

• Products of finite groups.
• Subnormal, permutable, and embedded subgroups in finite groups.
• Finite groups in which normality or quasinormality is transitive.
• Sylow permutable subnormal subgroups of finite groups
• A note on finite 𝒫𝒮𝒯-groups
• Finite Groups whose Subnormal Subgroups Permute with all Sylow Subgroups
• Some characterizations of finite groups in which semipermutability is a transitive relation
• Unnamed Item

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