Conjugacy classes of finite subgroups of certain mapping class groups

Details Conjugacy classes of finite subgroups of certain mapping class groups Conjugacy classes of finite subgroups of certain mapping class groups

2005-10-11

arxiv.org/abs/math/0510214v1

Mathematics

Geometric Topology

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

Scientific paper

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.

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