Three-dimensional affine crystallographic groups

1983/01/01 by David Fried, William M. Goldman, William M Goldman · 134 citations
Mathematics · #Advanced Algebra and Geometry #Affine coordinate system #Affine group #Affine hull #Affine plane (incidence geometry) #Affine representation #Affine space #Affine transformation #Algebra over a field #Combinatorics #Complex space #Geometric and Algebraic Topology #Geometry #Homogeneous space #Homotopy and Cohomology in Algebraic Topology #Isomorphism (crystallography) #Mathematics #Pure mathematics

paper · doi:10.1016/0001-8708(83)90053-1

published in Advances in Mathematics 47(1), 1-49 (Elsevier BV)

crossref issued 1983/01/01 · crossref published 1983/01/01 · crossref published-print 1983/01/01 · openalex publication_date 1983/01/01 · crossref created 2004/09/08 · crossref deposited 2023/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/14 · crossref indexed 2026/08/02

Citations

• The structure of complete locally affine manifolds
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Cohomology of Topological Groups and Solvmanifolds
• Differentiable dynamical systems

Cited by

• The fundamental group of a compact flat Lorentz space form is virtually polycyclic
• On the Zariski Closure of the Linear Part of a Properly Discontinuous Group of Affine Transformations
• Properly Discontinuous Groups of Affine Transformations: A Survey
• Affine manifold [wikipedia]