Two-dimensional Artin groups with CAT(0) dimension three
| dc.creator | Brady, Noel | |
| dc.creator | Crisp, John | |
| dc.date | 2000-12-13 | |
| dc.date | 2002-03-08 | |
| dc.date.accessioned | 2026-07-07T04:39:12Z | |
| dc.date.available | 2026-07-07T04:39:12Z | |
| dc.description | We exhibit 3-generator Artin groups which have finite 2-dimensional Eilenberg-Mac Lane spaces, but which do not act properly discontinuously by semi-simple isometries on a 2-dimensional CAT(0) complex. We prove that infinitely many of these groups are the fundamental groups of compact, non-positively curved 3-complexes. These examples show that the geometric dimension of a CAT(0) group may be strictly less than its CAT(0) dimension. | |
| dc.description | 27 pages, 8 figures (eps) | |
| dc.identifier | https://arxiv.org/abs/math/0012102 | |
| dc.identifier | http://arxiv.org/abs/math/0012102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60565 | |
| dc.subject | Group Theory | |
| dc.subject | 20F36;20F67 | |
| dc.title | Two-dimensional Artin groups with CAT(0) dimension three | |
| dc.type | text |