Braid groups are almost co-Hopfian
| dc.creator | Bell, Robert W. | |
| dc.creator | Margalit, Dan | |
| dc.date | 2004-03-08 | |
| dc.date | 2005-06-18 | |
| dc.date.accessioned | 2026-07-07T05:06:13Z | |
| dc.date.available | 2026-07-07T05:06:13Z | |
| dc.description | Let B_n be the braid group on n > 3 strands. We prove that B_n modulo its center is co-Hopfian. We then show that any injective endomorphism of B_n is geometric in the sense that it is induced by a homeomorphism of a punctured disk. We further prove that any injection from B_n to B_n+1 is geometric. Additionally, we obtain analogous results for mapping class groups of punctured spheres. The methods use Thurston's theory of surface homeomorphisms and build upon work of Ivanov and McCarthy. | |
| dc.description | 27 pages, 7 figures, improved exposition, minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/0403145 | |
| dc.identifier | http://arxiv.org/abs/math/0403145 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70395 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.subject | 20F36; 57M07 | |
| dc.title | Braid groups are almost co-Hopfian | |
| dc.type | text |