A solution of the word problem for braid groups via the complex reflection group G12

DOI10.2298/FIL2002461CzbMath1499.20083OpenAlexW3111932580MaRDI QIDQ5865615

Amer Hassan Albargi, Ahmet Sinan Cevik

Publication date: 9 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2002461c

zbMATH Keywords

presentationword problembraid groupGröbner-Shirshov basis theory

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Gröbner-Shirshov bases (16Z10)

Related Items

Gröbner-Shirshov basis and normal forms for the infinite Coxeter group of type \(\widetilde{C}_n\)

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