Automorphism and outer automorphism groups of Right-angled Artin groups are not relatively hyperbolic
Group Theory
2024-03-20 v4 Geometric Topology
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.
Keywords
Cite
@article{arxiv.2104.14760,
title = {Automorphism and outer automorphism groups of Right-angled Artin groups are not relatively hyperbolic},
author = {Junseok Kim and Sangrok Oh and Philippe Tranchida},
journal= {arXiv preprint arXiv:2104.14760},
year = {2024}
}
Comments
We correct the theorem of relative hyperbolicity of outer automorphism groups of right-angled Artin groups. The corrigendum will appear in Bulletin of the Australian Mathematical Society