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arXiv · 2104.14760

Automorphism and outer automorphism groups of Right-angled Artin groups are not relatively hyperbolic

Junseok Kim·Sangrok Oh·Philippe Tranchida
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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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Junseok Kim, Sangrok Oh, Philippe Tranchida. 2021-04-30. Automorphism and outer automorphism groups of Right-angled Artin groups are not relatively hyperbolic. https://doi.org/10.1017/s0004972721001258

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