On the Fitting length of a soluble product of nilpotent groups

DOI10.1007/BF01198953zbMath0774.20021MaRDI QIDQ1193267

Hermann Heineken, Martin L. Newell, Silvana Franciosi, Francesco de Giovanni

Publication date: 27 September 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

nilpotent groupsfiniteness conditionsnormal subgroupFitting subgroupHirsch-Plotkin radicalFitting lengthfinite abelian section ranksoluble productelement of order \(p\)product of abelian groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) General structure theorems for groups (20E34) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22) Local properties of groups (20E25) Products of subgroups of abstract finite groups (20D40)

Related Items (5)

On the Fitting series of the product of two finite nilpotent groups ⋮ On the Hirsch-Plotkin radical of a factorized group ⋮ Prodotti di gruppi nilpotenti ⋮ The product of two finite nilpotent groups and its Fitting series ⋮ On the orders of vanishing elements of finite groups

Cites Work

• The vanishing of certain homology and cohomology groups
• Artinian and Noetherian factorized groups
• Über das Produkt von zwei abelschen Gruppen
• Groups with a nilpotent triple factorisation
• Supplements in Abelian-By-Nilpotent Groups
• Endliche Gruppen I
• Unnamed Item
• Unnamed Item

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