On a universal mapping class group of genus zero
| dc.creator | Funar, Louis | |
| dc.creator | Kapoudjian, Christophe | |
| dc.date | 2002-10-01 | |
| dc.date | 2004-09-08 | |
| dc.date.accessioned | 2026-07-07T04:51:24Z | |
| dc.date.available | 2026-07-07T04:51:24Z | |
| dc.description | The aim of this paper is to introduce a group containing the mapping class groups of all genus zero surfaces. Roughly speaking, such a group is intended to be a discrete analogue of the diffeomorphism group of the circle. One defines indeed a {\it universal mapping class group of genus zero}, denoted $\B$. The latter is a nontrivial extension of the Thompson group $V$ (acting on the Cantor set) by an inductive limit of pure mapping class groups of all genus zero surfaces. We prove that $\B$ is a finitely presented group, and give an explicit presentation of it. | |
| dc.description | G.A.F.A., to appear, 46 p. The paper has been split, this version is the revision of the first part | |
| dc.identifier | https://arxiv.org/abs/math/0210007 | |
| dc.identifier | http://arxiv.org/abs/math/0210007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65131 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.subject | 57 N 05, 20 F 38 | |
| dc.title | On a universal mapping class group of genus zero | |
| dc.type | text |