Commensurability and separability of quasiconvex subgroups
| dc.creator | Haglund, Frederic | |
| dc.date | 2009-04-17 | |
| dc.date.accessioned | 2026-07-07T13:05:41Z | |
| dc.date.available | 2026-07-07T13:05:41Z | |
| dc.description | We show that two uniform lattices of a regular right-angled Fuchsian building are commensurable, provided the chamber is a polygon with at least six edges. We show that in an arbitrary Gromov-hyperbolic regular right-angled building associated to a graph product of finite groups, a uniform lattice is commensurable with the graph product provided all of its quasiconvex subgroups are separable. We obtain a similar result for uniform lattices of the Davis complex of Gromov-hyperbolic two-dimensional Coxeter groups. We also prove that every extension of a uniform lattice of a CAT(0) square complex by a finite group is virtually trivial, provided each quasiconvex subgroup of the lattice is separable. | |
| dc.description | This is the version published by Algebraic & Geometric Topology on 9 August 2006 | |
| dc.identifier | https://arxiv.org/abs/0904.2698 | |
| dc.identifier | http://arxiv.org/abs/0904.2698 | |
| dc.identifier | Algebr. Geom. Topol. 6 (2006) 949-1024 | |
| dc.identifier | doi:10.2140/agt.2006.6.949 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227568 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | 20F55, 20F65, 20F67, 20E22, 20E26, 20J06, 51E24 | |
| dc.title | Commensurability and separability of quasiconvex subgroups | |
| dc.type | text |