The Isomorphism Problem for Toral Relatively Hyperbolic Groups
| dc.creator | Dahmani, Francois | |
| dc.creator | Groves, Daniel | |
| dc.date | 2005-12-27 | |
| dc.date | 2008-06-01 | |
| dc.date.accessioned | 2026-07-07T12:53:48Z | |
| dc.date.available | 2026-07-07T12:53:48Z | |
| dc.description | We provide a solution to the isomorphism problem for torsion-free relatively hyperbolic groups with abelian parabolics. As special cases we recover solutions to the isomorphism problem for: (i) torsion-free hyperbolic groups (Sela); and (ii) fully residually free groups (Bumagin, Kharlampovich and Miasnikov). We also give a solution to the homeomorphism problem for finite volume hyperbolic n-manifolds, for $n \ge 3$. In the course of the proof of the main result, we prove that a particular JSJ decomposition of a freely indecomposable torsion-free relatively hyperbolic group with abelian parabolics is algorithmically constructible. | |
| dc.description | Version 3 is 90 pages (the increased length is due mostly to typesetting). Lots of rewriting due to referee's comments. Publications Mathematiques de l'IHES, to appear | |
| dc.identifier | https://arxiv.org/abs/math/0512605 | |
| dc.identifier | http://arxiv.org/abs/math/0512605 | |
| dc.identifier | Publ. Math., Inst. Hautes Etudes Sci. 107 no.1 (2008) 211-290. | |
| dc.identifier | doi:10.1007/s10240-008-0014-3 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223749 | |
| dc.subject | Group Theory | |
| dc.subject | 20F10; 20F65 | |
| dc.title | The Isomorphism Problem for Toral Relatively Hyperbolic Groups | |
| dc.type | text |