The well-ordering of dual braid monoids
Group Theory
2008-12-10 v2
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:0811.3902 [math.GR], and then proving that this new ordering coincides with the standard ordering of braids.
Keywords
Cite
@article{arxiv.0712.3836,
title = {The well-ordering of dual braid monoids},
author = {Jean Fromentin},
journal= {arXiv preprint arXiv:0712.3836},
year = {2008}
}