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On hyperbolicity and virtual freeness of automorphism groups

Published 13 Mar 2019 in math.GR | (1903.05471v2)

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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