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

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.

31 pages, 17 figures

References in corpus (3)

• An Isoperimetric Function for Bestvina-Brady Groups
• Divergence and quasimorphisms of right-angled Artin groups
• The cohomology of Bestvina-Brady groups