Products of finite nilpotent groups

DOI10.1007/BF01446920zbMath0687.20013MaRDI QIDQ1262944

Hermann Heineken

Publication date: 1990

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164712

zbMATH Keywords

finite nilpotent groupssaturated formationFitting subgroup\({\mathbb F}-projector\)p-subgroups of GL(n,q)

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) 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) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items

Products of groups and group classes ⋮ On the commutator and the center of finite groups. ⋮ On finite products of nilpotent groups ⋮ On finite groups factorized by σ-nilpotent subgroups ⋮ On locally finite groups factorized by locally nilpotent subgroups ⋮ Unnamed Item ⋮ On permuteral subgroups in finite groups. ⋮ On finite dinilpotent groups ⋮ A property of factorizable groups ⋮ The product of two finite nilpotent groups and its Fitting series ⋮ Finite groups with submodular Sylow subgroups

Cites Work

• Produkte Abelscher Gruppen und ihre Fittinggruppe. (Products of Abelian groups and their Fitting group)
• Über Produkte von nilpotenten Gruppen
• Produkte nilpotenter Gruppen
• Über das Produkt von zwei abelschen Gruppen
• Finite groups which are the product of two nilpotent subgroups