Acylindrical hyperbolicity of Artin groups associated with graphs that are not cones

Motoko Kato; Shin-ichi Oguni

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arXiv · 2204.13377

Acylindrical hyperbolicity of Artin groups associated with graphs that are not cones

Motoko Kato·Shin-ichi Oguni

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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 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.

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Motoko Kato, Shin-ichi Oguni. 2022-04-28. Acylindrical hyperbolicity of Artin groups associated with graphs that are not cones. https://arxiv.org/abs/2204.13377

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