The wellordering on positive braids

DOI10.1016/S0022-4049(96)00072-2zbMath0958.20032OpenAlexW2041524410MaRDI QIDQ1366712

Serge Burckel

Publication date: 17 April 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(96)00072-2

zbMATH Keywords

normal formsfree monoidspositive braidslinear orderingsArtin's braid monoidsnormal braid wordswellorderings

Mathematics Subject Classification ID

Combinatorics on words (68R15) Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36) Total orders (06A05)

Related Items (23)

REWRITING SYSTEMS AND ORDERINGS ON ARTIN MONOIDS ⋮ STRANGE QUESTIONS ABOUT BRAIDS ⋮ Dehornoy’s ordering on the braid group and braid moves ⋮ 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 ⋮ The free one-generated left distributive algebra: basics and a simplified proof of the division algorithm ⋮ Every braid admits a short sigma-definite expression. ⋮ A result on braids via the investigation of a rewriting system. ⋮ A well-ordering of dual braid monoids. ⋮ Alternating normal forms for braids and locally Garside monoids. ⋮ A fast method for comparing braids ⋮ THE WELL-ORDERING OF DUAL BRAID MONOID ⋮ Syntactical methods for braids of three strands ⋮ The Group BS(1,2) and a Construction of Magnus ⋮ FINITE THURSTON-TYPE ORDERINGS ON DUAL BRAID MONOIDS ⋮ The braid shelf ⋮ Laver's results and low-dimensional topology ⋮ Efficient solutions to the braid isotopy problem. ⋮ On finite Thurston-type orderings of braid groups ⋮ Ordering Garside groups ⋮ The fine structure of LD-equivalence ⋮ A kernel of a braid group representation yields a knot with trivial knot polynomials

Cites Work

• Groups with a complemented presentation
• Braid group actions on left distributive structures, and well orderings in the braid groups
• Braids, Links, and Mapping Class Groups. (AM-82)
• Braid Groups and Left Distributive Operations
• ALGORITHMS FOR POSITIVE BRAIDS
• THE BRAID GROUP AND OTHER GROUPS
• Ordering by Divisibility in Abstract Algebras

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