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

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

2011-02-27

arxiv.org/abs/1102.5551v1

Mathematics

Group Theory

31 pages, 17 figures

Scientific paper

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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