ON A CLASS OF SUPERSOLUBLE GROUPS

DOI10.1017/S0004972714000306zbMath1310.20018MaRDI QIDQ2922933

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

Publication date: 15 October 2014

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

zbMATH Keywords

maximal subgroupsSylow subgroups\(T_0\)-groupssemipermutable subgroupsT-groupssoluble finite groupsgroups with transitive normality\(S\)-permutable subgroupsMS-groups

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) Special subgroups (Frattini, Fitting, etc.) (20D25) Products of subgroups of abstract finite groups (20D40)

Related Items (max. 100)

SEMIPERMUTABILITY IN GENERALISED SOLUBLE GROUPS ⋮ On two classes of finite supersoluble groups ⋮ Semipermutable subgroups and \(s\)-semipermutable subgroups in finite groups

Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• On a Class of p-Soluble Groups
• ON PRODUCTS OF GROUPS FOR WHICH NORMALITY IS A TRANSITIVE RELATION ON THEIR FRATTINI FACTOR GROUPS
• Some characterizations of finite groups in which semipermutability is a transitive relation
• Generalizations of Groups in which Normality Is Transitive

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