Knot Group Epimorphisms, II
| dc.creator | Silver, Daniel S. | |
| dc.creator | Whitten, Wilbur | |
| dc.date | 2008-06-19 | |
| dc.date.accessioned | 2026-07-07T09:45:37Z | |
| dc.date.available | 2026-07-07T09:45:37Z | |
| dc.description | We consider the relations $\ge$ and $\ge_p$ on the collection of all knots, where $k \ge k'$ (respectively, $k \ge_p k'$) if there exists an epimorphism $πk \to πk'$ of knot groups (respectively, preserving peripheral systems). When $k$ is a torus knot, the relations coincide and $k'$ must also be a torus knot; we determine the knots $k'$ that can occur. If $k$ is a 2-bridge knot and $k \ge_p k'$, then $k'$ is a 2-bridge knot with determinant a proper divisor of the determinant of $k$; only finitely many knots $k'$ are possible. | |
| dc.description | 14 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0806.3223 | |
| dc.identifier | http://arxiv.org/abs/0806.3223 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163253 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.subject | 57M25 | |
| dc.title | Knot Group Epimorphisms, II | |
| dc.type | text |