On the Isoperimetric functions of a class of Artin Groups
Group Theory
2025-07-23 v1
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.
Keywords
Cite
@article{arxiv.2507.16770,
title = {On the Isoperimetric functions of a class of Artin Groups},
author = {Arye Juhasz},
journal= {arXiv preprint arXiv:2507.16770},
year = {2025}
}