On Residualizing Homomorphisms Preserving Quasiconvexity
| dc.creator | Minasyan, Ashot | |
| dc.date | 2004-06-07 | |
| dc.date | 2005-12-04 | |
| dc.date.accessioned | 2026-07-07T06:36:50Z | |
| dc.date.available | 2026-07-07T06:36:50Z | |
| dc.description | $H$ is called a $G$-subgroup of a hyperbolic group $G$ if for any finite subset $M\subset G$ there exists a homomorphism from $G$ onto a non-elementary hyperbolic group $G_1$ that is surjective on $H$ and injective on $M$. In his paper in 1993 A. Ol'shanskii gave a description of all $G$-subgroups in any given non-elementary hyperbolic group $G$. Here we show that for the same class of $G$-subgroups the finiteness assumption on $M$ (under certain natural conditions) can be replaced by an assumption of quasiconvexity. | |
| dc.description | 41 pages, 2 figures. Final version (some typos corrected) | |
| dc.identifier | https://arxiv.org/abs/math/0406126 | |
| dc.identifier | http://arxiv.org/abs/math/0406126 | |
| dc.identifier | Comm. in Algebra 33 (2005), no. 7, pp. 2423-2463 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100215 | |
| dc.subject | Group Theory | |
| dc.subject | Primary 20F67,20E26, Secondary 20F06 | |
| dc.title | On Residualizing Homomorphisms Preserving Quasiconvexity | |
| dc.type | text |