Automatic Structures for Torus Link Groups

DOI10.1142/S0218216503002627zbMath1063.20047arXivmath/0111079MaRDI QIDQ4474524

Matthieu Picantin

Publication date: 12 July 2004

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111079

zbMATH Keywords

Artin groupsautomatic groupsgroups of fractionspresentations of groupsGarside monoidsknot groupslink groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Semigroups in automata theory, linguistics, etc. (20M35) Fundamental group, presentations, free differential calculus (57M05)

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Structure groups of \(L\)-algebras and Hurwitz action, On some torus knot groups and submonoids of the braid groups, Cyclic amalgams, HNN extensions, and Garside one-relator groups, Normal forms of random braids., A note on Garside monoids and \({\mathcal{M}} \)-braces, On some Garsideness properties of structure groups of set-theoretic solutions of the Yang-Baxter equation, A new Garside structure on torus knot groups and some complex braid groups, Alternating normal forms for braids and locally Garside monoids., The center of thin Gaussian groups, Finite transducers for divisibility monoids, Garside Groups and Yang–Baxter Equation

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