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The well-ordering of dual braid monoids


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.
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Dates and versions

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



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