Markov and Artin Normal Form Theorem for Braid Groups∗

DOI10.1080/00927870701302115zbMath1169.20019arXiv0806.1124OpenAlexW1965590534MaRDI QIDQ5756467

V. V. Chaynikov, Leonid A. Bokut', Kar Ping Shum

Publication date: 4 September 2007

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

Full work available at URL: https://arxiv.org/abs/0806.1124

zbMATH Keywords

braid groupsrewriting systemsnormal form theoremsGröbner-Shirshov basesdiamond lemma

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36)

Related Items (9)

Unnamed Item ⋮ Gröbner–Shirshov basis method for multiple tensor products of some associative algebras ⋮ Gröbner-Shirshov bases for Vinberg-Koszul-Gerstenhaber right-symmetric algebras ⋮ Gröbner-Shirshov basis for the braid group in the Artin-Garside generators. ⋮ Gröbner–Shirshov bases and their calculation ⋮ Gröbner-Shirshov Bases for Braid Groups in Adyan-Thurston Generators ⋮ Gröbner-Shirshov basis for the braid group in the Birman-Ko-Lee generators. ⋮ GRÖBNER–SHIRSHOV BASES FOR FREE INVERSE SEMIGROUPS ⋮ Gröbner-Shirshov bases for associative algebras with multiple operators and free Rota-Baxter algebras.

Cites Work

• Unnamed Item
• The diamond lemma for ring theory
• Embeddings into simple associative algebras
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• Theory of braids
• On theories with a combinatorial definition of 'equivalence'
• GRÖBNER-SHIRSHOV BASES FOR COXETER GROUPS
• Über Zopfinvarianten

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