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Dehn functions of mapping tori of right-angled Artin groups
Published online by Cambridge University Press: 11 January 2024
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 (RAAGs) $G$, including all $3$-generator RAAGs and $F_k \times F_l$ for all $k,l \geq 2$.
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- Research Article
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- © The Author(s), 2024. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust