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

Abstract

We establish property $R_{\infty }$ for Artin groups of spherical type $D_n$, $n\ge 6$, 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.

arXiv commentV2: added a detailed proof of Delzant's Lemma; minor edits throughout the text. 27 pages, 4 figures