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Abstract We prove that for any finite Thurston-type ordering < T on the braid group B n , the restriction to the positive braid monoid ( , < T ) is a well-ordered set of order type ω ω n –2 . The proof uses a combinatorial description of the ordering < T . Our combinatorial description is based on a new normal form for positive braids which we call the ( -normal form. It can be seen as a generalization of Burckel's normal form and Dehornoy's Φ-normal form (alternating normal form).
Groups - Complexity - Cryptology – de Gruyter
Published: Dec 1, 2010
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