On the singular braid monoid

DOI10.1090/S1061-0022-2010-01112-9zbMath1201.20056arXivmath/0309339OpenAlexW2088397437MaRDI QIDQ3163674

Vladimir V. Vershinin

Publication date: 26 October 2010

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309339

zbMATH Keywords

presentationsbraid groupsword problemsingular braid monoidsGarside normal form

Mathematics Subject Classification ID

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

Related Items (8)

Structure of 4-strand singular pure braid group ⋮ A Categorical Structure for the Virtual Braid Group ⋮ On the generating function and growth of the positive singular braid monoid ⋮ Unnamed Item ⋮ A CATEGORICAL MODEL FOR THE VIRTUAL BRAID GROUP ⋮ On 3-strand singular pure braid group ⋮ Monoid and group of pseudo braids ⋮ On the automaticity of singular Artin monoids of finite type

Cites Work

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• A normal form for a class of monoids including the singular braid monoids
• Conjugacy Classes and Nilpotent Variety of a Reductive Monoid
• ALGORITHMS FOR POSITIVE BRAIDS
• New points of view in knot theory
• Garside Structure for Singular Braid Monoid in Birman, Ko, Lee Generators
• THE BRAID GROUP AND OTHER GROUPS

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