Affiliation:
1. Laboratoire de Mathématiques Nicolas Oresme, Université de Caen, BP 5186, 14032 Caen, France
Abstract
We describe the restriction of the Dehornoy ordering of braids to the dual braid monoids introduced by Birman, Ko and Lee: we give an inductive characterization of the ordering of the dual braid monoids and compute the corresponding ordinal type. The proof consists in introducing a new ordering on the dual braid monoid using the rotating normal form of arXiv:math.GR/0811.3902, and then proving that this new ordering coincides with the standard ordering of braids.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. The braid shelf;Journal of Knot Theory and Its Ramifications;2018-10
2. Laver’s results and low-dimensional topology;Archive for Mathematical Logic;2015-12-19
3. A simple algorithm for finding short sigma-definite representatives;Journal of Algebra;2012-01
4. FINITE THURSTON-TYPE ORDERINGS ON DUAL BRAID MONOIDS;Journal of Knot Theory and Its Ramifications;2011-07
5. On finite Thurston-type orderings of braid groups;Groups – Complexity – Cryptology;2010-01