Automorphisms of Torsion-Free Nilpotent Groups of Class Two

DOI10.2307/2154188zbMath0773.20007OpenAlexW4249864557MaRDI QIDQ4018921

Rüdiger Göbel, Manfred Dugas

Publication date: 16 January 1993

Full work available at URL: https://doi.org/10.2307/2154188

zbMATH Keywords

semidirect productupper central seriestorsion-free nilpotent groupsalternating bilinear formprescribed outer automorphism groups

Mathematics Subject Classification ID

Nilpotent groups (20F18) Automorphism groups of groups (20F28) Representations of groups as automorphism groups of algebraic systems (20F29) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (3)

McLain groups over arbitrary rings and orderings ⋮ Extended genus of torsion-free finitely generated nilpotent groups of class two ⋮ \(p\)-adic completions and automorphisms of nilpotent groups.

Cites Work

• Outer automorphisms of groups
• Some sufficient conditions for a group to be nilpotent
• Any group is represented by an outerautomorphism group
• Torsion-free nilpotent groups and E-modules
• Isometry transformations of hyperbolic 3-manifolds
• The occurrence of groups as automorphisms of nilpotent p-groups
• Nilpotent groups
• Characterizing inner automorphisms of groups
• The occurrence of finite groups in the automorphism group of nilpotent groups of class 2
• A combinatorial principle and endomorphism rings. I: On \(p\)-groups
• A Characterization of Inner Automorphisms
• All Infinite Groups are Galois Groups Over any Field
• On Inner Automorphisms of Finite Groups
• Every Cotorsion-Free Ring is an Endomorphism Ring
• Prescribing Endomorphism Algebras, a Unified Treatment
• The Stability Group of a Series of Subgroups
• Groups with Abelian Central Quotient Group
• Sur les groupes nilpotents et les anneaux de Lie
• Homology

This page was built for publication: Automorphisms of Torsion-Free Nilpotent Groups of Class Two