Dehn functions and finiteness properties of subgroups of perturbed right-angled Artin groups
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abstract
We introduce the class of perturbed right-angled Artin groups. These are constructed by gluing Bieri double groups into standard right-angled Artin groups. As a first application of this construction we obtain families of CAT(0) groups containing finitely presented subgroups which are not of type $mathrm{FP}_3$, and have exponential, or polynomial Dehn functions of prescribed degree.