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.
Citation
Yoshikata KIDA. Saeko YAMAGATA. "Commensurators of surface braid groups." J. Math. Soc. Japan 63 (4) 1391 - 1435, October, 2011. https://doi.org/10.2969/jmsj/06341391
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