Commensurators of surface braid groups
Group Theory
2015-02-02 v4 Geometric Topology
Abstract
We prove that if g and n are integers at least two, then the abstract commensurator of the braid group with n strands on a closed orientable surface of genus g is naturally isomorphic to the extended mapping class group of a compact orientable surface of genus g with n boundary components.
Cite
@article{arxiv.1004.2946,
title = {Commensurators of surface braid groups},
author = {Yoshikata Kida and Saeko Yamagata},
journal= {arXiv preprint arXiv:1004.2946},
year = {2015}
}
Comments
35 pages, 12 figures