Groups acting on CAT(0) square complexes
| dc.creator | Xie, Xiangdong | |
| dc.date | 2003-03-10 | |
| dc.date.accessioned | 2026-07-07T04:55:55Z | |
| dc.date.available | 2026-07-07T04:55:55Z | |
| dc.description | We study groups acting on CAT(0) square complexes. In particular we show if Y is a nonpositively curved (in the sense of A. D. Alexandrov) finite square complex and the vertex links of Y contain no simple loop consisting of five edges, then any subgroup of the fundamental group of Y either is virtually free abelian or contains a free group of rank two. In addition we discuss when a group generated by two hyperbolic isometries contains a free group of rank two and when two points in the ideal boundary of a CAT(0) 2-complex at Tits distance $π$ apart are the endpoints of a geodesic in the 2-complex. | |
| dc.description | 31 pages | |
| dc.identifier | https://arxiv.org/abs/math/0303120 | |
| dc.identifier | http://arxiv.org/abs/math/0303120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66748 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M20,20F67,20E07 | |
| dc.title | Groups acting on CAT(0) square complexes | |
| dc.type | text |