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Automorphism and outer automorphism groups of Right-angled Artin groups are not relatively hyperbolic (2104.14760v4)

Published 30 Apr 2021 in math.GR and math.GT

Abstract: We show that the automorphism groups of right-angled Artin groups whose defining graphs have at least 3 vertices are not relatively hyperbolic. We then show that the outer automorphism groups are not relatively hyperbolic, if they are not virtually isomorphic to a right-angled Artin group whose defining graph is either a single vertex or disconnected.

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