Volume 13, issue 3 (2013)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Centralizers of finite subgroups of the mapping class group

Hao Liang

Algebraic & Geometric Topology 13 (2013) 1513–1530
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.

Keywords
finite subgroup of mapping class group, curve complex, hyperbolic group, hierarchy
Mathematical Subject Classification 2010
Primary: 20F65, 20F67
References
Publication
Received: 24 February 2012
Revised: 11 July 2012
Accepted: 22 December 2012
Published: 9 May 2013
Authors
Hao Liang
Department of Mathematics, Statistics, and Computer Science
University of Illinois at Chicago
322 Science and Engineering Offices
851 S. Morgan Street
Chicago, IL 60607-7045
USA
http://homepages.math.uic.edu/~liang/