The well-ordering of dual braid monoids - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2007

The well-ordering of dual braid monoids

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.
Fichier principal
Vignette du fichier
article.pdf (285.08 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00200732 , version 1 (21-12-2007)
hal-00200732 , version 2 (09-12-2008)

Identifiers

Cite

Jean Fromentin. The well-ordering of dual braid monoids. 2007. ⟨hal-00200732v2⟩
78 View
240 Download

Altmetric

Share

Gmail Facebook X LinkedIn More