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.
|Number of pages||9|
|Journal||Hiroshima Mathematical Journal|
|Publication status||Published - Mar 1 2011|
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology