On the isoperimetric functions of a class of Artin groups

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.

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Publication Details

Journal
Groups Geometry and Dynamics
Published
2026-05-11
DOI
https://doi.org/10.4171/ggd/950
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

On the isoperimetric functions of a class of Artin groups

Arye Juhász
Groups Geometry and Dynamics
Geometric and Algebraic Topology
article

On the isoperimetric functions of a class of Artin groups

Arye Juhász
article en

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.

Groups Geometry and Dynamics
Technion – Israel Institute of Technology (IL)
Openalex Percentile: Top 93%
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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On the isoperimetric functions of a class of Artin groups — Arye Juhász · Groups Geometry and Dynamics (2026) | TGRS Research Map | TGRS