Nilpotent groups of Hirsch length six

DOI10.1007/BF01214314zbMath0497.20026MaRDI QIDQ1170622

Leon S. Sterling, Daniel Segal, Fritz J. Grunewald

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/173140

zbMATH Keywords

subgroups of finite indexprofinite completionHirsch numberMal'cev completionfinitely generated torsion-free nilpotent groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Nilpotent groups (20F18) Residual properties and generalizations; residually finite groups (20E26) Limits, profinite groups (20E18)

Related Items (11)

On genus and embeddings of torsion-free nilpotent groups of class two ⋮ Unnamed Item ⋮ Genus of nilpotent groups of Hirsch length six ⋮ Extended genus of torsion-free finitely generated nilpotent groups of class two ⋮ Torsion-free nilpotent groups of small Hirsch length with isomorphic finite quotients ⋮ The Problem of the Classification of the Nilpotent Class 2 Torsion Free Groups up to Geometric Equivalence ⋮ Rational forms of nilpotent Lie algebras and Anosov diffeomorphisms ⋮ A new method for constructing Anosov Lie algebras ⋮ Compact homogeneous spaces and their generalizations ⋮ Submodules of free Lie rings ⋮ Nilpotent groups and unipotent algebraic groups

Cites Work

• Some general algorithms. II: Nilpotent groups
• A note on finitely generated torsion-free nilpotent groups of class 2
• Computing invariants for finitely presented nilpotent groups
• Finitely Generated Nilpotent Groups with Isomorphic Finite Quotients
• Unnamed Item
• Unnamed Item

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