Geodesic
Acylindrical hyperbolicity of Artin groups associated with graphs that are not cones
Motoko Kato1 orcid ; Shin-ichi Oguni2 orcid
1University of the Ryukyus, Okinawa Ken, Japan
2Ehime University, Ehime, Japan
Groups, geometry, and dynamics, Tome 18 (2024) no. 4, pp. 1291-1316

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DOI

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.
DOI : 10.4171/ggd/783
Classification : 20F65, 20F36, 20F67
Mots-clés : Artin group, acylindrical hyperbolicity, WPD contracting element, CAT(0) cube complex

Motoko Kato  1   ; Shin-ichi Oguni  2

1 University of the Ryukyus, Okinawa Ken, Japan
2 Ehime University, Ehime, Japan 
Motoko Kato; Shin-ichi Oguni. Acylindrical hyperbolicity of Artin groups associated with graphs that are not cones. Groups, geometry, and dynamics, Tome 18 (2024) no. 4, pp. 1291-1316. doi: 10.4171/ggd/783
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     title = {Acylindrical hyperbolicity of {Artin} groups associated with~graphs that are not cones},
     journal = {Groups, geometry, and dynamics},
     pages = {1291--1316},
     year = {2024},
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     number = {4},
     doi = {10.4171/ggd/783},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/783/}
}
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