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 $k,l \geq 2$.
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
@article{10_1017_S0017089523000459,
author = {Pueschel, Kristen and Riley, Timothy},
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/}
}
TY - JOUR AU - Pueschel, Kristen AU - Riley, Timothy TI - Dehn functions of mapping tori of right-angled Artin groups JO - Glasgow mathematical journal PY - 2024 SP - 252 EP - 289 VL - 66 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000459/ DO - 10.1017/S0017089523000459 ID - 10_1017_S0017089523000459 ER -
%0 Journal Article %A Pueschel, Kristen %A Riley, Timothy %T Dehn functions of mapping tori of right-angled Artin groups %J Glasgow mathematical journal %D 2024 %P 252-289 %V 66 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000459/ %R 10.1017/S0017089523000459 %F 10_1017_S0017089523000459
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