Dehn filling in relatively hyperbolic groups
| dc.creator | Groves, Daniel | |
| dc.creator | Manning, Jason Fox | |
| dc.date | 2006-01-13 | |
| dc.date | 2009-03-28 | |
| dc.date.accessioned | 2026-07-07T12:57:16Z | |
| dc.date.available | 2026-07-07T12:57:16Z | |
| dc.description | We introduce a number of new tools for the study of relatively hyperbolic groups. First, given a relatively hyperbolic group G, we construct a nice combinatorial Gromov hyperbolic model space acted on properly by G, which reflects the relative hyperbolicity of G in many natural ways. Second, we construct two useful bicombings on this space. The first of these, "preferred paths", is combinatorial in nature and allows us to define the second, a relatively hyperbolic version of a construction of Mineyev. As an application, we prove a group-theoretic analog of the Gromov-Thurston 2πTheorem in the context of relatively hyperbolic groups. | |
| dc.description | 83 pages. v2: An improved version of preferred paths is given, in which preferred triangles no longer need feet. v3: Fixed several small errors pointed out by the referee, and repaired several broken figures. v4: corrected definition 2.38. This is very close to the published version | |
| dc.identifier | https://arxiv.org/abs/math/0601311 | |
| dc.identifier | http://arxiv.org/abs/math/0601311 | |
| dc.identifier | Israel Journal of Mathematics 168 (2008) 317--429 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224875 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.title | Dehn filling in relatively hyperbolic groups | |
| dc.type | text |