Geodesic automation and growth functions for Artin groups of finite type
type: Item
instance of: scholarly article
title: Geodesic automation and growth functions for Artin groups of finite type
zbMATH Open document ID: 0813.20042
DOI: 10.1007/BF01446631
published in: Mathematische Annalen
publication date: 1995-05-29T00:00:00Z
full work available at URL: https://eudml.org/doc/165293
review text: For an Artin group (or generalized braid group) associated to a finite Coxeter group, we exhibit an automatic structure whose language is symmetric, geodesic and one-to-one. Using this automatic structure, we show how to explicitly compute rational growth functions for these groups.
Mathematics Subject Classification ID: 20F36
Mathematics Subject Classification ID: 20F65
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20F10
Mathematics Subject Classification ID: 20F55
zbMATH DE Number: 734573
zbMATH Keywords: Artin group
zbMATH Keywords: generalized braid group
zbMATH Keywords: finite Coxeter group
zbMATH Keywords: automatic structure
zbMATH Keywords: rational growth functions
author: Ruth Charney
MaRDI profile type: Publication
cites work: Les immeubles des groupes de tresses généralises
cites work: Q4003861
cites work: THE BRAID GROUP AND OTHER GROUPS
cites work: Q3772406
cites work: Small cancellation theory and automatic groups
cites work: Small cancellation theory and automatic groups. II
cites work: Rational subgroups of biautomatic groups
description: scientific article; zbMATH DE number 734573