Dehornoy’s ordering of the braid groups extends the subword ordering

Bert Wiest

Vol. 191 (1999), No. 1, 183–188

DOI: 10.2140/pjm.1999.191.183

Abstract

We give a simple proof of the result of Laver and Burckel that inserting a conjugate of a positive standard generator of the braid group anywhere in a given braid yields a braid which is larger in the sense of Dehornoy.

Milestones

Received: 17 February 1998

Published: 1 November 1999