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arXiv · 1903.05471

On hyperbolicity and virtual freeness of automorphism groups

Olga Varghese
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Abstract

We show that word hyperbolicity of automorphism groups of graph products $G_\Gamma$ and of Coxeter groups $W_\Gamma$ depends strongly on the shape of the defining graph $\Gamma$. We also characterized those $Aut(G_\Gamma)$ and $Aut(W_\Gamma)$ in terms of $\Gamma$ that are virtually free.

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Olga Varghese. 2019-03-13. On hyperbolicity and virtual freeness of automorphism groups. https://arxiv.org/abs/1903.05471

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