Braid group actions on left distributive structures, and well orderings in the braid groups

DOI10.1016/0022-4049(95)00147-6zbMath0859.20029OpenAlexW1979536616MaRDI QIDQ1917384

Richard Laver

Publication date: 9 April 1997

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

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00147-6

zbMATH Keywords

generatorslinear ordersArtin braid groupspartial orderingspositive braidsfree left distributive algebraswell orderings

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Total orders (06A05) Sets with a single binary operation (groupoids) (20N02) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50) Word problems (aspects of algebraic structures) (08A50)

Related Items (17)

AXIOM I₀ AND HIGHER DEGREE THEORY ⋮ The wellordering on positive braids ⋮ Dehornoy’s ordering on the braid group and braid moves ⋮ Left division in the free left distributive algebra on one generator ⋮ Ordering braids: In memory of Patrick Dehornoy ⋮ The free one-generated left distributive algebra: basics and a simplified proof of the division algorithm ⋮ A well-ordering of dual braid monoids. ⋮ Alternating normal forms for braids and locally Garside monoids. ⋮ A fast method for comparing braids ⋮ Groups with a complemented presentation ⋮ THE WELL-ORDERING OF DUAL BRAID MONOID ⋮ Free zeropotent left distributive systems ⋮ Syntactical methods for braids of three strands ⋮ Laver's results and low-dimensional topology ⋮ Laver and set theory ⋮ Left division in the free left distributive algebra on many generators ⋮ The fine structure of LD-equivalence

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