Dehn functions of mapping tori of right-angled Artin groups
Glasgow mathematical journal, Tome 66 (2024) no. 2, pp. 252-289

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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 $k,l \geq 2$.
DOI : 10.1017/S0017089523000459
Mots-clés : Dehn function, right-angled Artin group, mapping torus
Pueschel, Kristen; Riley, Timothy. Dehn functions of mapping tori of right-angled Artin groups. Glasgow mathematical journal, Tome 66 (2024) no. 2, pp. 252-289. doi: 10.1017/S0017089523000459
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     title = {Dehn functions of mapping tori of right-angled {Artin} groups},
     journal = {Glasgow mathematical journal},
     pages = {252--289},
     year = {2024},
     volume = {66},
     number = {2},
     doi = {10.1017/S0017089523000459},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000459/}
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