Relative Hyperbolic Extensions of Groups and Cannon-Thurston Maps
| dc.creator | Pal, Abhijit | |
| dc.date | 2008-01-07 | |
| dc.date | 2008-07-22 | |
| dc.date.accessioned | 2026-07-07T09:51:37Z | |
| dc.date.available | 2026-07-07T09:51:37Z | |
| dc.description | Let $1\to (K,K_1)\to (G,N_G(K_1))\to(Q,Q_1)\to 1$ be a short exact sequence of pairs of finitely generated groups with $K$ strongly hyperbolic relative to proper subgroup $K_1$. Assuming that for all $g\in G$ there exists $k\in K$ such that $gK_1g^{-1}=kK_1k^{-1}$, we prove that there exists a quasi-isometric section $s\colon Q \to G$. Further we prove that if $G$ is strongly hyperbolic relative to the normalizer subgroup $N_G(K_1)$ and weakly hyperbolic relative to $K_1$, then there exists a Cannon-Thurston map for the inclusion $i\colonΓ_K\to Γ_G$. | |
| dc.description | 16 pages, No figures | |
| dc.identifier | https://arxiv.org/abs/0801.0933 | |
| dc.identifier | http://arxiv.org/abs/0801.0933 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165310 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | 20F32, 57M50 | |
| dc.title | Relative Hyperbolic Extensions of Groups and Cannon-Thurston Maps | |
| dc.type | text |