A normal form for a class of monoids including the singular braid monoids

DOI10.1006/jabr.1999.8044zbMath0971.20035OpenAlexW2034430605MaRDI QIDQ1969126

Ruth Corran

Publication date: 28 August 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.8044

zbMATH Keywords

normal formsword problemdivision problemsingular braid monoidshomogeneously presented monoidspositive singular Artin monoids

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)

Related Items (25)

The dual braid monoid ⋮ Centralisers in Surface Braid Groups ⋮ On the injectivity of the Vassiliev homomorphism of singular Artin monoids ⋮ On the singular braid monoid ⋮ The proof of Birman's conjecture on singular braid monoids. ⋮ On functors associated to a simple root ⋮ Structure of 4-strand singular pure braid group ⋮ On the generating function and growth of the positive singular braid monoid ⋮ Complete positive group presentations. ⋮ On a Class of Factorizable Inverse Monoids Associated with Braid Groups ⋮ Unnamed Item ⋮ On some decompositions of the 3-strand singular braid group ⋮ POSITIVE PRESENTATIONS OF SURFACE BRAID GROUPS ⋮ THE SUBWORD REVERSING METHOD ⋮ On monoids related to braid groups ⋮ Braid groups of imprimitive complex reflection groups. ⋮ Non-crossing partitions of type \((e,e,r)\). ⋮ Braids, their Properties and Generalizations ⋮ Conjugacy in singular Artin monoids ⋮ BIRMAN'S CONJECTURE IS TRUE FOR I₂(p) ⋮ On 3-strand singular pure braid group ⋮ On Singular Artin Monoids and Contributions to Birman's Conjecture ⋮ The Natural Embedding of Positive Singular Artin Monoids ⋮ On the automaticity of singular Artin monoids of finite type ⋮ On parabolic submonoids of a class of singular Artin monoids

Cites Work

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• Link invariants of finite type and perturbation theory
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• THE SINGULAR BRAID MONOID EMBEDS IN A GROUP
• Singular Braids and Markov's Theorem
• New points of view in knot theory
• Intersecting Braids and Intersecting Knot Theory
• THE BRAID GROUP AND OTHER GROUPS

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