On the existence of spines for Q-rank 1 groups
| dc.creator | Yasaki, Dan | |
| dc.date | 2006-01-04 | |
| dc.date.accessioned | 2026-07-07T06:58:32Z | |
| dc.date.available | 2026-07-07T06:58:32Z | |
| dc.description | Let X=Gamma\G/K be an arithmetic quotient of a symmetric space of non-compact type. In the case that G has Q-rank 1, we construct Gamma-equivariant deformation retractions of D=G/K onto a set D_0. We prove that D_0 is a spine, having dimension equal to the virtual cohomological dimension of Gamma. In fact, there is a (k-1)-parameter family of such deformations retractions, where k is the number of Gamma-conjugacy classes of rational parabolic subgroups of G. The construction of the spine also gives a way to construct an exact fundamental domain for Gamma. | |
| dc.description | 21 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0601073 | |
| dc.identifier | http://arxiv.org/abs/math/0601073 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107390 | |
| dc.subject | Number Theory | |
| dc.subject | 11F57 (Primary), 53C35 (Secondary) | |
| dc.title | On the existence of spines for Q-rank 1 groups | |
| dc.type | text |