The Auslander conjecture for NIL-affine crystallographic groups
| dc.creator | Burde, Dietrich | |
| dc.creator | Dekimpe, Karel | |
| dc.creator | Deschamps, Sandra | |
| dc.date | 2004-09-24 | |
| dc.date.accessioned | 2026-07-07T05:12:33Z | |
| dc.date.available | 2026-07-07T05:12:33Z | |
| dc.description | Let N be a simply connected, connected real nilpotent Lie group of finite dimension n. We study subgroups $Γ$ in $\Aff (N)=N\rtimes \Aut (N)$ 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 $1\le n\le 5$ the generalized Auslander conjecture holds, i.e., that such subgroups are virtually polycyclic. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0409476 | |
| dc.identifier | http://arxiv.org/abs/math/0409476 | |
| dc.identifier | Math. Ann. 332, No. 1, 161--176 (2005) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72614 | |
| dc.subject | Differential Geometry | |
| dc.title | The Auslander conjecture for NIL-affine crystallographic groups | |
| dc.type | text |