Title: Any virtually polycyclic group admits a NIL-affine crystallographic action
Authors: Dekimpe, Karel # ×
Issue Date: Jul-2003
Publisher: Pergamon-elsevier science ltd
Series Title: Topology vol:42 issue:4 pages:821-832
Abstract: In this paper, we prove that any virtually polycyclic group admits a properly discontinuous and cocompact action on a simply connected, connected nilpotent Lie group N. This action is affine in the sense that the group acts as a subgroup of the affine group Aff(N)=NAut(N) of connection preserving automorphisms of N. As a consequence, we also obtain that any virtually polycyclic group admits a polynomial crystallographic action of degree bounded above by its Hirsch length. (C) 2002 Elsevier Science Ltd. All rights reserved.
ISSN: 0040-9383
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Mathematics, Campus Kulak Kortrijk
× corresponding author
# (joint) last author

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