Turkish Journal of Mathematics
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.
Hyperelliptic mapping class group, finite subgroups of mapping class group
STUKOW, MICHAL (2004) "Conjugacy Classes of Finite Subgroups of Certain Mapping Class Groups," Turkish Journal of Mathematics: Vol. 28: No. 2, Article 1. Available at: https://journals.tubitak.gov.tr/math/vol28/iss2/1