On the isoperimetric functions of a class of Artin groups

Groups Geometry and Dynamics 2026 Open access

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Authors: Arye Juhász
DOI: 10.4171/ggd/950
Cited by: 0

Abstract

We find a polynomial ( n^{6} ) isoperimetric function for Artin groups, the defining graph of which contains no edges labelled by 3 . This in particular shows that even Artin groups have solvable word problem. We use small cancellation theory of relative extended presentations.

Fields of Study & Subjects

Geometric and Algebraic Topology Advanced Combinatorial Mathematics Algebraic Geometry and Number Theory

Publication details

Journal / source
Groups Geometry and Dynamics
Volume
20
Issue
3
Pages
771–796
Publication date
11 May 2026
Language
EN