A well-ordering of dual braid monoids.

DOI10.1016/j.crma.2008.05.001zbMath1146.20313OpenAlexW2567900241MaRDI QIDQ935351

Jean Fromentin

Publication date: 6 August 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.05.001

zbMATH Keywords

braid groupsnormal formsorder typesdual 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 (6)

Left division in the free left distributive algebra on one generator ⋮ A simple algorithm for finding short sigma-definite representatives. ⋮ The rotating normal form of braids is regular ⋮ Every braid admits a short sigma-definite expression. ⋮ FINITE THURSTON-TYPE ORDERINGS ON DUAL BRAID MONOIDS ⋮ 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
• Braid group actions on left distributive structures, and well orderings in the braid groups
• Theory of braids
• The dual braid monoid
• THE BRAID GROUP AND OTHER GROUPS
• Ordering by Divisibility in Abstract Algebras

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