Conjugacy classes of finite subgroups of certain mapping class groups

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.

A version of the paper which appeared in Turkish J. of Math

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