English

Conjugacy classes of finite subgroups of certain mapping class groups

Geometric Topology 2014-02-18 v1

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

Cite

@article{arxiv.math/0510214,
  title  = {Conjugacy classes of finite subgroups of certain mapping class groups},
  author = {Michal Stukow},
  journal= {arXiv preprint arXiv:math/0510214},
  year   = {2014}
}

Comments

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

R2 v1 2026-07-22T17:25:44.433Z