A Gaschütz-Lubeseder type theorem in a class of locally finite groups

zbMath0970.20022MaRDI QIDQ1965258

Adolfo Ballester-Bolinches, Sergio Camp-Mora

Publication date: 21 October 2001

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

maximal subgroupssemidirect productsfinite soluble groupssaturated formationsmajor subgroupslocal definitionsascending chains of finite subgroupsfinite primitive soluble groupsLubeseder type theoremradical locally finite groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Maximal subgroups (20E28) Periodic groups; locally finite groups (20F50) Formations of groups, Fitting classes (20F17)

Related Items

On a class of generalized nilpotent groups

Cites Work

• Unnamed Item
• Zur Theorie der endlichen auflösbaren Gruppen
• Finite soluble groups
• Major subgroups of nilpotent-by-finite groups
• Schunck classes and projectors of periodic soluble nilpotent-by-finite groups
• H-Untergruppen in endlichen auflösbaren Gruppen
• Kennzeichnung gesättigter Formationen
• A Frattini-like subgroup
• A dual approach to Černikov modules
• Schunck classes and projectors in a class of locally finite groups