Abstract
Let Mod (∑g,p) be the mapping class group of a closed oriented surface ∑g,p of genus g ≥1 with p punctures. Wajnryb proved that Mod(∑g,0) is generated by two elements. Korkmaz proved that one of these generators may be taken to be a Dehn twist. Korkmaz also proved the same result in the case of Mod(∑g,1). For p ≥ 2, we prove that Mod(∑g,p) is generated by three elements.
| Original language | English |
|---|---|
| Pages (from-to) | 1-9 |
| Number of pages | 9 |
| Journal | Hiroshima Mathematical Journal |
| Volume | 41 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Mar 2011 |
| Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology