On the Isoperimetric functions of a class of Artin Groups

Published 22 Jul 2025 in math.GR | (2507.16770v1)

Abstract: We find a polynomial (n⁶⁾ 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

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