CONJUGACY IN ARTIN GROUPS AND APPLICATION TO THE CLASSIFICATION OF SURFACES

DOI10.1142/S0219498806001880zbMath1108.20037arXivmath/0312188MaRDI QIDQ3421577

Mina Teicher, Eddy Godelle, Shmuel Kaplan

Publication date: 7 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0312188

zbMATH Keywords

algorithmsArtin groups of spherical typeclassifications of surfacesconjugacy problem in Artin groupsconjugates of powers of generatorsword problem in braid groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Families, moduli, classification: algebraic theory (14J10) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Cites Work

• Groups with a complemented presentation
• Geodesic automation and growth functions for Artin groups of finite type
• Artin monoids inject in their groups
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups

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