Every braid admits a short sigma-definite expression.

DOI10.4171/JEMS/289zbMath1235.20035arXiv0811.3902OpenAlexW2012187204MaRDI QIDQ645351

Jean Fromentin

Publication date: 14 November 2011

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3902

zbMATH Keywords

algorithmsbraid groupsbraid orderingnormal form theoremsArtin generatorsBirman-Ko-Lee generatorsdual braid monoidsigma-definite expression

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Ordered semigroups and monoids (06F05)

Related Items (6)

Braid ordering and the geometry of closed braid ⋮ The rotating normal form of braids is regular ⋮ How to read the length of a braid from its curve diagram. ⋮ The braid shelf ⋮ Laver's results and low-dimensional topology ⋮ Ordering Garside groups

Cites Work

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• A NORMAL FORM FOR BRAIDS
• Left-distributive idempotent algebras
• Braid Groups and Left Distributive Operations
• THE BRAID GROUP AND OTHER GROUPS

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