On the isoperimetric functions of a class of Artin groups
Year: 2026
Type: article
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.
Source: Groups Geometry and Dynamics
DOI: 10.4171/ggd/950
Author: Arye Juhász
Institution: Technion – Israel Institute of Technology
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4417440834
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