The mapping class group of a punctured surface is generated by three elements
| dc.creator | Monden, Naoyuki | |
| dc.date | 2008-10-06 | |
| dc.date.accessioned | 2026-07-07T10:07:51Z | |
| dc.date.available | 2026-07-07T10:07:51Z | |
| dc.description | Let $Σ_{g,p}$ be a closed oriented surface of genus $g\geq 1$ with $p$ punctures. Let $\rm Mod(Σ_{\textit{g,p}})$ be the mapping class group of $Σ_{g,p}$. Wajnryb proved in [Wa] that for $p=0, 1$ $\rm Mod({Σ_{\textit{g,p}}})$ is generated by two elements. Korkmaz proved in [Ko] that one of these generators can be taken as a Dehn twist. For $p\geq 2$, We proved that $\rm Mod(Σ_{\textit{g,p}})$ is generated by three elements. | |
| dc.description | 7 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/0810.0984 | |
| dc.identifier | http://arxiv.org/abs/0810.0984 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170789 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.subject | 20F65, 57M07 | |
| dc.title | The mapping class group of a punctured surface is generated by three elements | |
| dc.type | text |