The subnormal embedding of complete groups

DOI10.1016/0021-8693(84)90182-0zbMath0547.20018OpenAlexW2092802746MaRDI QIDQ798767

John C. Lennox, Hermann Heineken

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90182-0

zbMATH Keywords

lower central seriesholomorphsubnormal subgroupFitting subgroupfinite soluble complete group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Automorphisms of abstract finite groups (20D45) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items

Finite complete groups, Complete lie algebras, A Fitting class construction, On normal verbal embeddings of groups, Defektschranken gewisser Subnormalteiler. (Defect bounds for certain subnormal subgroups)

Cites Work

• Vertauschbare nachinvariante Untergruppen
• Some finite solvable groups with no outer automorphisms
• On Subnormal Embedding Theorems for Groups
• Endliche Gruppen I