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Hensel, Sebastian; Kielak, Dawid (2018): Nielsen realisation for untwisted automorphisms of right-angled Artin groups. In: Proceedings of the London Mathematical Society, Vol. 117: pp. 901-950
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We prove Nielsen realisation for finite subgroups of the groups of untwisted outer automorphisms of RAAGs in the following sense: given any graph Gamma, and any finite group G <= U0(A Gamma)<= Out 0(A Gamma), we find a non-positively curved cube complex with fundamental group A Gamma on which G acts by isometries, realising the action on A Gamma.