Commensurators of surface braid groups

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.

35 pages, 12 figures

References in corpus (3)

• Addendum to: Commensurations of the Johnson kernel
• Automorphisms of the Torelli complex and the complex of separating curves
• The co-Hopfian property of surface braid groups

Cited by in corpus (3)

• OE and W* superrigidity results for actions by surface braid groups
• Automorphisms of braid groups on orientable surfaces
• The co-Hopfian property of surface braid groups