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arXiv · 2409.18123

Property $R_\infty$ for new classes of Artin groups

Ignat Soroko·Nicolas Vaskou
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Abstract

We establish property $R_\infty$ for Artin groups of spherical type $D_n$, $n\ge6$, their central quotients, and also for large hyperbolic-type free-of-infinity Artin groups and some other classes of large-type Artin groups. The key ingredients are recent descriptions of the automorphism groups for these Artin groups and their action on suitable Gromov-hyperbolic spaces. We also provide a detailed proof of Delzant's Lemma, an important technical tool used in our work and in several other papers on the $R_\infty$ property.

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Ignat Soroko, Nicolas Vaskou. 2024-09-26. Property $R_\infty$ for new classes of Artin groups. https://arxiv.org/abs/2409.18123

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