Abstract
Let N be a simply connected, connected real nilpotent Lie group of finite dimension n. We study subgroups Γ in Aff(N)=N⋊Aut(N) acting properly discontinuously and cocompactly on N. This situation is a natural generalization of the so-called affine crystallographic groups. We prove that for all dimensions 1≤n≤5 the generalized Auslander conjecture holds, i.e., that such subgroups are virtually polycyclic.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
