Representing braids by automorphisms

2002/03/17 by Vladimir Shpilrain · 1 citation
Mathematics · #math.GR #math.GT #msc:20F36 #msc:57M05

paper · pdf

published as Internat. J. Algebra and Comput. 11 (2001), 773-778 · 6 pages

arxiv created 2002/03/17 · arxiv updated 2009/11/30

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.

Cited by

• Knot invariants from representations of braids by automorphisms of a free group

Related

• On the Linearized Artin Braid Representation
• Extending representations of braid groups to the automorphism groups of free groups
• Representations of Braid Groups and Generalisations
• Faithful Linear Representations of the Braid Groups
• Knot invariants from representations of braids by automorphisms of a free group