Acylindrical hyperbolicity of Artin groups associated with graphs that are not cones
Motoko Kato
University of the Ryukyus, Okinawa Ken, JapanShin-ichi Oguni
Ehime University, Ehime, Japan
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Abstract
Charney and Morris-Wright showed acylindrical hyperbolicity of Artin groups of infinite type associated with graphs that are not joins, by studying clique-cube complexes and the actions on them. In this paper, by developing their study and formulating some additional discussion, we demonstrate that acylindrical hyperbolicity holds for more general Artin groups. Indeed, we are able to treat Artin groups of infinite type associated with graphs that are not cones.
Cite this article
Motoko Kato, Shin-ichi Oguni, Acylindrical hyperbolicity of Artin groups associated with graphs that are not cones. Groups Geom. Dyn. (2024), published online first
DOI 10.4171/GGD/783