Commensurators of surface braid groups

Mathematics – Group Theory

Scientific paper

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35 pages, 12 figures

Scientific paper

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.

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