On finite Abelian-by-nilpotent groups

DOI10.1016/0021-8693(84)90041-3zbMath0525.20012OpenAlexW2056775285MaRDI QIDQ594191

Rolf Brandl

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)90041-3

zbMATH Keywords

descending central seriesfinite abelian-by-nilpotent groupsminimal simple groupn-generator subgroupsn-recognizable class of finite groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Commutator calculus (20F12)

Related Items

2-recognizable classes of Leibniz algebras, Some finite varieties of Lie algebras, On the nilpotent length of polycyclic groups

Cites Work

• On certain varieties of groups
• Zur Theorie der untergruppenabgeschlossenen Formationen: Endliche Varietäten
• On a Conjecture of Hanna Neumann
• Varieties of groups
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I