Dehn functions of mapping tori of right-angled Artin groups

Abstract

The algebraic mapping torus $M_{\Phi }$ of a group $G$ with an automorphism $\Phi$ is the HNN-extension of $G$ in which conjugation by the stable letter performs $\Phi$. We classify the Dehn functions of $M_{\Phi }$ in terms of $\Phi$ for a number of right-angled Artin groups $G$, including all $3$-generator right-angled Artin groups and $F_k\times F_l$ for all $k,l\ge 2$.

arXiv comment29 pages, 20 figures

References in corpus (2)

• Detecting the growth of free group automorphisms by their action on the homology of subgroups of finite index
• Non Hyperbolic Free-By-Cyclic and One-Relator Groups