The center of thin Gaussian groups

DOI10.1006/jabr.2001.8894zbMath1002.20022OpenAlexW2046657616MaRDI QIDQ5958857

Matthieu Picantin

Publication date: 16 October 2002

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

Full work available at URL: https://semanticscholar.org/paper/72cf9334d10e291a98f6084006301a62ea7f60f3

zbMATH Keywords

Artin groupscancellative monoidsgroups of fractionsquasi-centersthin Gaussian groups

Mathematics Subject Classification ID

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

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Cites Work

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• A new approach to the word and conjugacy problems in the braid groups
• Gaussian groups are torsion free
• Braids and self-distributivity
• Springer theory in braid groups and the Birman-Ko-Lee monoid.
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• On theories with a combinatorial definition of 'equivalence'
• THE CONJUGACY PROBLEM IN SMALL GAUSSIAN GROUPS
• The dual braid monoid
• Matched pairs of groups and bismash products of hopf algebras
• Automatic Structures for Torus Link Groups
• Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
• THE BRAID GROUP AND OTHER GROUPS