Torsion Elements in the Mapping Class Group of a Surface
Feng Luo · arXiv (Cornell University) · 2000
Given a finite set of $r$ points in a closed surface of genus $g$, we consider the torsion elements in the mapping class group of the surface leaving the finite set invariant. We show that the torsion elements generate the mapping class group if and only if $(g, r) eq (2, 5k+4)$ for some integer $k$.