English

Representing braids by automorphisms

Group Theory 2007-05-23 v1 Geometric Topology

Abstract

Based on a normal form for braid group elements suggested by Dehornoy, we prove several representations of braid groups by automorphisms of a free group to be faithful. This includes a simple proof of the standard Artin's representation being faithful.

Keywords

Cite

@article{arxiv.math/0203167,
  title  = {Representing braids by automorphisms},
  author = {Vladimir Shpilrain},
  journal= {arXiv preprint arXiv:math/0203167},
  year   = {2007}
}

Comments

6 pages