Explicit presentations for the dual braid monoids

DOI10.1016/S1631-073X(02)02370-1zbMath1020.20027arXivmath/0111280OpenAlexW2093952458MaRDI QIDQ1608691

Matthieu Picantin

Publication date: 2 July 2003

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

Full work available at URL: https://arxiv.org/abs/math/0111280

zbMATH Keywords

presentationsbraid groupsdual braid monoidsfinite type Artin-Tits groupsGarside structures

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36)

Related Items (12)

The dual braid monoid ⋮ Cyclic amalgams, HNN extensions, and Garside one-relator groups ⋮ On a refinement of the generalized Catalan numbers for Weyl groups ⋮ Affine braid groups: a better platform than braid groups for cryptology? ⋮ Complete positive group presentations. ⋮ Asymptotic combinatorics of Artin-Tits monoids and of some other monoids ⋮ Lyashko-Looijenga morphisms and submaximal factorizations of a Coxeter element ⋮ Clusters, Coxeter-sortable elements and noncrossing partitions ⋮ Cambrian fans. ⋮ Fixed Points of Endomorphisms and Metrics in preGarside Monoids ⋮ Automatic Structures for Torus Link Groups ⋮ Three-dimensional FC Artin groups are CAT(0).

Uses Software

• GAP

Cites Work

• A new approach to the word and conjugacy problems in the braid groups
• Non-crossing partitions for classical reflection groups
• Homology of Gaussian groups.
• Complete positive group presentations.
• Braids and self-distributivity
• Bestvina's normal form complex and the homology of Garside groups.
• \(K(\pi,1)\)'s for Artin groups of finite type.
• Springer theory in braid groups and the Birman-Ko-Lee monoid.
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• THE CONJUGACY PROBLEM IN SMALL GAUSSIAN GROUPS
• The dual braid monoid
• Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
• Braid pictures for Artin groups
• THE BRAID GROUP AND OTHER GROUPS
• The center of thin Gaussian groups

This page was built for publication: Explicit presentations for the dual braid monoids