Injections of Artin groups
| dc.creator | Bell, Robert W. | |
| dc.creator | Margalit, Dan | |
| dc.date | 2005-01-04 | |
| dc.date | 2006-05-17 | |
| dc.date.accessioned | 2026-07-07T06:39:15Z | |
| dc.date.available | 2026-07-07T06:39:15Z | |
| dc.description | We study those Artin groups which, modulo their centers, are finite index subgroups of the mapping class group of a sphere with at least 5 punctures. In particular, we show that any injective homomorphism between these groups is parameterized by a homeomorphism of a punctured sphere together with a map to the integers. We also give a generating set for the automorphism group of the pure braid group on at least 4 strands. The technique, following Ivanov, is to prove that every superinjective map of the complex of curves of a sphere with at least 5 punctures is induced by a homeomorphism. | |
| dc.description | 21 pages, 8 figures, some corrections, new sections | |
| dc.identifier | https://arxiv.org/abs/math/0501051 | |
| dc.identifier | http://arxiv.org/abs/math/0501051 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101009 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | 20F36; 57M07 | |
| dc.title | Injections of Artin groups | |
| dc.type | text |