English

Pure braid groups are not residually free

Group Theory 2019-08-27 v1 Geometric Topology

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.

Cite

@article{arxiv.1106.4602,
  title  = {Pure braid groups are not residually free},
  author = {Daniel C. Cohen and Michael Falk and Richard Randell},
  journal= {arXiv preprint arXiv:1106.4602},
  year   = {2019}
}
R2 v1 2026-06-21T18:26:18.566Z