Nil-affine crystallographic actions of virtually polycyclic groups

DOI10.1007/s00031-021-09673-wOpenAlexW3207351703MaRDI QIDQ2075048

Jonas Deré

Publication date: 11 February 2022

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.11290

Mathematics Subject Classification ID

Lie groups (22Exx) Topological transformation groups (57Sxx) Other groups of matrices (20Hxx)

Related Items (3)

Simply transitive nil-affine actions of solvable Lie groups ⋮ Strongly scale-invariant virtually polycyclic groups ⋮ An averaging formula for Nielsen numbers on infra-solvmanifolds

Cites Work

• Polycyclic-by-finite groups admit a bounded-degree polynomial structure
• Three-dimensional affine crystallographic groups
• Complete affine locally flat manifolds with free fundamental group
• Topological methods in algebraic transformation groups. Proceedings of a conference at Rutgers University, New Brunswick, NJ (USA), 4-8 April 1988
• On fundamental groups of complete affinely flat manifolds
• The uniqueness of polynomial crystallographic actions
• Any virtually polycyclic group admits a NIL-affine crystallographic action.
• Infra-solvmanifolds and rigidity of subgroups in solvable linear algebraic groups
• A non-affine nilvariety
• Maps on infra-nilmanifolds. Rigidity and applications to fixed-point theory
• Almost-Bieberbach groups: affine and polynomial structures
• Über einen Algorithmus zur Bestimmung der Raumgruppen
• Solvable Lattices and Their Groups of Automorphisms
• Semi-simple splittings for solvable Lie groups and polynomial structures
• Crystallographic actions on contractible algebraic manifolds
• Properly discontinuous groups of affine transformations: a survey
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