A note on finite 𝒫𝒮𝒯-groups

DOI10.1515/JGT.2007.016zbMath1120.20023OpenAlexW1991073936MaRDI QIDQ3429462

Matthew F. Ragland, Adolfo Ballester-Bolinches, Ramón Esteban-Romero

Publication date: 2 April 2007

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2007.016

zbMATH Keywords

finite groupstransitive normalitySylow-permutable subgroups

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

Related Items (5)

Finite solvable groups in which semi-normality is a transitive relation. ⋮ Algorithms for permutability in finite groups. ⋮ Some new characterizations of solvable PST-groups. ⋮ The intersection map of subgroups and certain classes of finite groups. ⋮ Minimality and locally defined classes of groups.

Uses Software

• permut

Cites Work

• Unnamed Item
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• On \(T^*\)-groups
• Sylow permutable subnormal subgroups of finite groups
• Criteria for permutability to be transitive in finite groups
• The structure of finite groups in which permutability is a transitive relation
• Finite Groups whose Subnormal Subgroups Permute with all Sylow Subgroups
• On finiteJ-groups
• Finite soluble groups with permutable subnormal subgroups

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