Journals / Turkish Journal of Mathematics / 2004 / Cilt: 28 - Sayı: 2
Conjugacy Classes of Finite Subgroups of Certain Mapping Class Groups
- Pages
- 101–110
- DOI
- —
Abstract
We give a complete description of conjugacy classes of finite subgroups of the mapping class group of the sphere with r marked points. As a corollary we obtain a description of conjugacy classes of maximal finite subgroups of the hyperelliptic mapping class group. In particular, we prove that, for a fixed genus g, there are at most five such classes.
Özet
We give a complete description of conjugacy classes of finite subgroups of the mapping class group of the sphere with r marked points. As a corollary we obtain a description of conjugacy classes of maximal finite subgroups of the hyperelliptic mapping class group. In particular, we prove that, for a fixed genus g, there are at most five such classes.