THE WELL-ORDERING OF DUAL BRAID MONOID

DOI10.1142/S0218216510008029zbMath1236.20057arXiv0712.3836OpenAlexW2085713944MaRDI QIDQ3566627

Jean Fromentin

Publication date: 8 June 2010

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.3836

zbMATH Keywords

braid groupsnormal formsorder typeswell-orderingsbraid orderingsdual braid monoidsDehornoy ordering

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36) Total orders (06A05)

Related Items (5)

A simple algorithm for finding short sigma-definite representatives. ⋮ FINITE THURSTON-TYPE ORDERINGS ON DUAL BRAID MONOIDS ⋮ The braid shelf ⋮ Laver's results and low-dimensional topology ⋮ On finite Thurston-type orderings of braid groups

Cites Work

• Alternating normal forms for braids and locally Garside monoids.
• A new approach to the word and conjugacy problems in the braid groups
• The wellordering on positive braids
• Computation of the ordinal of braids
• Braid group actions on left distributive structures, and well orderings in the braid groups
• Groupes de Garside
• Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups

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