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arXiv · 2507.16770

On the Isoperimetric functions of a class of Artin Groups

Arye Juhasz
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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.

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Arye Juhasz. 2025-07-22. On the Isoperimetric functions of a class of Artin Groups. https://arxiv.org/abs/2507.16770

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