- Turkish Journal of Mathematics
- Vol: 28 Issue: 2
- Conjugacy Classes of Finite Subgroups of Certain Mapping Class Groups
Conjugacy Classes of Finite Subgroups of Certain Mapping Class Groups
Authors : Michal Stukow
Pages : 101-110
View : 10 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Hyperelliptic mapping class group, finite subgroups of mapping class group