Canonical forms of positive braids

DOI10.1142/S0219498814500765zbMath1327.20055OpenAlexW2137436668MaRDI QIDQ5498551

Usman Ali, Barbu Berceanu

Publication date: 9 February 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498814500765

zbMATH Keywords

canonical formspositive braidsGröbner-Shirshov basesbraid monoidsdivisors of Garside braids

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 (4)

A Gröbner-Shirshov basis over a special type of braid monoids ⋮ On a commuting graph of tiny braids ⋮ Simple braids ⋮ Word problem for special braid groups

Cites Work

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• Artin-Gruppen und Coxeter-Gruppen
• A new approach to the conjugacy problem in Garside groups.
• Theory of braids
• Canonical Forms and Infimum of Positive Braids
• Braid groups in complex projective spaces
• ALGORITHMS FOR POSITIVE BRAIDS
• THE BRAID GROUP AND OTHER GROUPS

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