Height in splittings of hyperbolic groups
| dc.creator | Mitra, Mahan | |
| dc.date | 2004-03-08 | |
| dc.date.accessioned | 2026-07-07T05:06:10Z | |
| dc.date.available | 2026-07-07T05:06:10Z | |
| dc.description | Suppose $H$ is a hyperbolic subgroup of a hyperbolic group $G$. Assume there exists $n > 0$ such that the intersection of $n$ essentially distinct conjugates of $H$ is always finite. Further assume $G$ splits over $H$ with hyperbolic vertex and edge groups and the two inclusions of $H$ are quasi-isometric embeddings. Then $H$ is quasiconvex in $G$. This answers a question of Swarup and provides a partial converse to the main theorem of \cite{GMRS}. | |
| dc.description | 16 pages, no figures, no tables | |
| dc.identifier | https://arxiv.org/abs/math/0403125 | |
| dc.identifier | http://arxiv.org/abs/math/0403125 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 1, February 2004, pp. 39-54 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70381 | |
| dc.subject | Group Theory | |
| dc.subject | Metric Geometry | |
| dc.subject | 20F32; 57M50 | |
| dc.title | Height in splittings of hyperbolic groups | |
| dc.type | text |