# Dehn functions of subgroups of right-angled Artin groups

@article{Brady2018DehnFO, title={Dehn functions of subgroups of right-angled Artin groups}, author={Noel Brady and Ignat Soroko}, journal={Geometriae Dedicata}, year={2018}, volume={200}, pages={197-239} }

We show that for each positive integer k there exist right-angled Artin groups containing free-by-cyclic subgroups whose monodromy automorphisms grow as $$n^k$$nk. As a consequence we produce examples of right-angled Artin groups containing finitely presented subgroups whose Dehn functions grow as $$n^{k+2}$$nk+2.

## 11 Citations

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