Fixed Points of Endomorphisms and Metrics in preGarside Monoids

DOI10.1080/00927872.2015.1065842zbMath1343.20054arXiv1404.5440OpenAlexW2343059547MaRDI QIDQ2815418

Oussama Ajbal

Publication date: 28 June 2016

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

Full work available at URL: https://arxiv.org/abs/1404.5440

zbMATH Keywords

fixed pointsendomorphismsmetricstrace monoidsGarside monoidsfinitely generated monoidsArtin-Tits monoids

Mathematics Subject Classification ID

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

Cites Work

• Fixed points of endomorphisms of trace monoids.
• A metric for traces
• A note on words in braid monoids
• Non-positively curved aspects of Artin groups of finite type
• Graph groups are biautomatic
• The topology of Mazurkiewicz traces.
• Symmetrical subgroups of Artin groups
• Explicit presentations for the dual braid monoids
• Springer theory in braid groups and the Birman-Ko-Lee monoid.
• Artin-Gruppen und Coxeter-Gruppen
• Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups

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