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arXiv · 1102.5551

Dehn functions and finiteness properties of subgroups of perturbed right-angled Artin groups

Noel Brady·Dan Guralnik·Sang Rae Lee
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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.

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Noel Brady, Dan Guralnik, Sang Rae Lee. 2011-02-27. Dehn functions and finiteness properties of subgroups of perturbed right-angled Artin groups. https://arxiv.org/abs/1102.5551

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