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arXiv · 1709.04066

Dehn functions of subgroups of right-angled Artin groups

Noel Brady·Ignat Soroko
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Abstract

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

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Noel Brady, Ignat Soroko. 2017-09-12. Dehn functions of subgroups of right-angled Artin groups. https://arxiv.org/abs/1709.04066

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