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The second integral homology of even Artin groups

Published 6 Jul 2025 in math.GR and math.AT | (2507.04577v1)

Abstract: In this paper, we compute the second integral homology of even Artin groups using Hopf's formula. We then apply our results to the computation of cup products and Pontryagin products on even Artin groups, as well as to the second integral homology of even Coxeter groups.

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