Finite extensions and unipotent shadows of affine crystallographic groups

DOI10.1016/S1631-073X(02)02562-1zbMath1023.20025OpenAlexW2002817771MaRDI QIDQ1851437

Oliver Baues

Publication date: 16 June 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02562-1

zbMATH Keywords

affine crystallographic groupsvirtually polycyclic groupsinduced actionseffective extension groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Solvable groups, supersolvable groups (20F16) Other geometric groups, including crystallographic groups (20H15) Affine differential geometry (53A15)

Related Items (1)

Automorphism groups of polycyclic-by-finite groups and arithmetic groups.

Cites Work

• Unnamed Item
• Three-dimensional affine crystallographic groups
• Gluing affine 2-manifolds with polygons
• On affine crystallographic groups
• A non-affine nilvariety
• Über einen Algorithmus zur Bestimmung der Raumgruppen
• Aspherical Manifolds with Virtually 3-Step Nilpotent Fundamental Group
• Affine Structures on Three-Step Nilpotent Lie Algebras
• Simply Transitive Groups of Affine Motions
• Representative Functions of Discrete Groups and Solvable Arithmetic Subgroups
• Examples of compact locally affine spaces

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