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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
$k,l \geq 2$.
MSC classification
- Type
- Research Article
- Information
- Copyright
- © The Author(s), 2024. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust
References
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