The co-Hopfian property of surface braid groups

Abstract

Let g and n be integers at least two, and let G be the pure braid group with n strands on a closed orientable surface of genus g. We describe any injective homomorphism from a finite index subgroup of G into G. As a consequence, we show that any finite index subgroup of G is co-Hopfian.

32 pages, 20 figures. Figures added and exposition improved

References in corpus (3)

• Addendum to: Commensurations of the Johnson kernel
• Automorphisms of the Torelli complex and the complex of separating curves
• Commensurators of surface braid groups

Cited by in corpus (3)

• OE and W* superrigidity results for actions by surface braid groups
• Commensurators of surface braid groups
• Isotopy and homeomorphism of closed surface braids