Centralizers of Finite Subgroups of the Mapping Class Group

Details Centralizers of Finite Subgroups of the Mapping Class Group Centralizers of Finite Subgroups of the Mapping Class Group

2012-02-26

arxiv.org/abs/1202.5714v1

Mathematics

Group Theory

16 pages

Scientific paper

In this paper, we study the action of finite subgroups of the mapping class
group of a surface on the curve complex. We prove that if the diameter of the
almost fixed point set of a finite subgroup H is big enough, then the
centralizer of H is infinite.

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