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math.GR2024
Dyer groups: Centres, hyperbolicity, and acylindrical hyperbolicity
Mireille Soergel, Nicolas Vaskou
In this article we describe the centres of all Dyer groups. We also give a complete classification of when a Dyer group is hyperbolic or acylindricality hyperbolic, with con…
math.GR2024
Rigidity and classification results for large-type Artin groups
Jingyin Huang, Damian Osajda, Nicolas Vaskou
We compute the automorphism group of the intersection graph of many large-type Artin groups. This graph is an analogue of the curve graph of mapping class groups but in the context…
math.GR2023
Characterising large-type Artin groups
Alexandre Martin, Nicolas Vaskou
We show that the class of large-type Artin groups is invariant under isomorphism, in stark contrast with the corresponding situation for Coxeter groups. We obtain this result by pr…