The construction of affine structures on virtually nilpotent groups

DOI10.1007/BF02570462zbMath0843.57035OpenAlexW2021838725MaRDI QIDQ1895730

Karel Dekimpe

Publication date: 22 September 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156075

zbMATH Keywords

nilpotent Lie groupsinfra-nilmanifoldsaffine representations

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25)

Related Items (5)

The Reidemeister Spectra of Low Dimensional Almost-Crystallographic Groups ⋮ The Anosov theorem for infranilmanifolds with an odd-order Abelian holonomy group ⋮ The Auslander conjecture for NIL-affine crystallographic groups. ⋮ Nielsen zeta functions on infra-nilmanifolds up to dimension three ⋮ Almost-Bieberbach groups with (in)finite outer automorphism group

Cites Work

• Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups
• Computational aspects of affine representations for torsion free nilpotent groups via the Seifert construction
• Extensions realising a faithful abstract kernel and their automorphisms
• Modules for certain Lie algebras of maximal class
• Aspherical Manifolds with Virtually 3-Step Nilpotent Fundamental Group
• THE SEIFERT CONSTRUCTION AND ITS APPLICATIONS TO INFRANILMANIFOLDS
• Affine Structures on Three-Step Nilpotent Lie Algebras
• The structure and topological meaning of almost-torsion free groups
• AFFINE STRUCTURES FOR CLOSED 3-DIMENSIONAL MANIFOLDS WITH NIL-GEOMETRY
• Representing the automorphism group of an almost crystallographic group
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