Book review of: P. Dehornoy et al., Foundations of Garside theory

DOI10.1365/S13291-015-0121-2zbMath1401.00021OpenAlexW1766015634MaRDI QIDQ268135

Wolfgang Rump

Publication date: 14 April 2016

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1365/s13291-015-0121-2

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Ordered semigroups and monoids (06F05) Ordered groups (06F15) Sets with a single binary operation (groupoids) (20N02) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) External book reviews (00A17) Research exposition (monographs, survey articles) pertaining to group theory (20-02) Yang-Baxter equations (16T25)

Cites Work

• Unnamed Item
• Action of the braid group on a category
• Finite complex reflection arrangements are \(K(\pi,1)\)
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• Theory of braids
• A class of Garside groupoid structures on the pure braid group
• Free Sums of Groups and Their Generalizations. An Analysis of the Associative Law

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