Pure braid groups are not residually free

Abstract

We show that the Artin pure braid group on at least four strands is not residually free. Our results also show that the pure braid group on at least three strands has corank two.

References in corpus (3)

• Topology and geometry of cohomology jump loci
• Residually free 3-manifolds
• Automorphism groups of some pure braid groups

Cited by in corpus (5)

• Borel structures on the space of left-orderings
• Automorphism groups of some pure braid groups
• On graphic arrangement groups
• From pure braid groups to hyperbolic groups
• The Cohomology of the Mod 4 Braid Group