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Ordering Garside groups

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Publication:5225769
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DOI10.1142/S0218196719500322OpenAlexW2963560782MaRDI QIDQ5225769

Diego Arcis, Luis Paris

Publication date: 23 July 2019

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00655


zbMATH Keywords

ordered groupGarside groupdehornoy order


Mathematics Subject Classification ID

Braid groups; Artin groups (20F36)


Related Items (1)

Tied monoids



Cites Work

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  • Dehornoy-like left orderings and isolated left orderings.
  • A simple algorithm for finding short sigma-definite representatives.
  • Every braid admits a short sigma-definite expression.
  • Alternating normal forms for braids and locally Garside monoids.
  • The wellordering on positive braids
  • Artin monoids inject in their groups
  • Foundations of Garside theory
  • Parabolic subgroups of Garside groups.
  • Les immeubles des groupes de tresses généralises
  • Artin-Gruppen und Coxeter-Gruppen
  • Groupes de Garside
  • Braid Groups and Left Distributive Operations
  • ALGORITHMS FOR POSITIVE BRAIDS
  • Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
  • Left orders in Garside groups
  • NOETHERIAN SEMIGROUP ALGEBRAS
  • On braid groups


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