Growth functions associated with Artin monoids of finite type.

DOI10.3792/pjaa.84.179zbMath1159.20330OpenAlexW2059888193MaRDI QIDQ1002588

Kyoji Saito

Publication date: 2 March 2009

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.84.179

zbMATH Keywords

zeros of polynomialsArtin groupsgrowth functionsArtin monoids

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36)

Related Items (13)

On relations for zeros of \(f\)-polynomials and \(f^{+}\)-polynomials ⋮ Growth series of the braid monoid \(\mathrm{MB}_5\) in band generators ⋮ A necessary condition for representatives of elements of Artin groups of dihedral type to be geodesic. ⋮ On the growth of Artin-Tits monoids and the partial theta function ⋮ On the monoid in the fundamental group of type \(\mathbf B_{\mathbf{ii}}\). ⋮ On the generating function and growth of the positive singular braid monoid ⋮ Inversion formula for the growth function of a cancellative monoid. ⋮ Opposite power series ⋮ Equilibrium states and growth of quasi-lattice ordered monoids ⋮ Zero loci of skew-growth functions for dual Artin monoids ⋮ The skew-growth function on the monoid of square matrices. ⋮ Limit elements in the configuration algebra for a cancellative monoid ⋮ Growth functions for Artin monoids.

Cites Work

• Growth of the positive braid semigroups
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• Unnamed Item

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