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Finite quotients of spherical Artin groups

Sam Hughes, Thomas Ng, Kaitlin Ragosta, Nancy Scherich, Yvon Verberne

math.GRarXiv:2609.27171

Abstract

We show the smallest non-abelian quotients of spherical and affine Artin groups are isomorphic to the smallest non-abelian quotients of the corresponding Coxeter groups. We deduce irreducible spherical Artin groups are determined by their finite quotient groups.

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