## Algebraic & Geometric Topology

### Centralizers of finite subgroups of the mapping class group

Hao Liang

#### Abstract

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.

#### Article information

Source
Algebr. Geom. Topol., Volume 13, Number 3 (2013), 1513-1530.

Dates
Revised: 11 July 2012
Accepted: 22 December 2012
First available in Project Euclid: 19 December 2017

https://projecteuclid.org/euclid.agt/1513715591

Digital Object Identifier
doi:10.2140/agt.2013.13.1513

Mathematical Reviews number (MathSciNet)
MR3071134

Zentralblatt MATH identifier
1295.20042

#### Citation

Liang, Hao. Centralizers of finite subgroups of the mapping class group. Algebr. Geom. Topol. 13 (2013), no. 3, 1513--1530. doi:10.2140/agt.2013.13.1513. https://projecteuclid.org/euclid.agt/1513715591

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