• Corpus ID: 237452736

Extra-large type Artin groups are hierarchically hyperbolic

@inproceedings{Hagen2021ExtralargeTA,
  title={Extra-large type Artin groups are hierarchically hyperbolic},
  author={Mark F. Hagen and Alexandre Martin and Alessandro Sisto},
  year={2021}
}
We show that Artin groups of extra-large type, and more generally Artin groups of large and hyperbolic type, are hierarchically hyperbolic. This implies in particular that these groups have finite asymptotic dimension and uniform exponential growth. We prove these results by using a combinatorial approach to hierarchical hyperbolicity, via the action of these groups on a new complex that is quasi-isometric both to the coned-off Deligne complex introduced by Martin–Przytycki and to a… 

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