Nicolas Vaskou

activity

20202026

most citedRandom Artin groups

1 citations · 3 across the 12 of their papers we have counts for

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5 papers · 1 filter

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 $D (Γ)$ is hyperbolic or acylindricality hyperbolic, with con…

math.GR2024

Homomorphisms between XL-type Artin groups

Martín Blufstein, Alexandre Martin, Nicolas Vaskou

We study homomorphisms between XL-type Artin groups and show that, in a suitable sense, a generic Artin group is both hopfian and co-hopfian. For XL-type Artin groups over complete…

math.GR2024

Property $R_{\infty}$ for new classes of Artin groups

Ignat Soroko, Nicolas Vaskou

We establish property $R_{\infty}$ for Artin groups of spherical type $D_{n}$ , $n \geq 6$ , their central quotients, and also for large hyperbolic-type free-of-infinity Artin groups and so…

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.GR2024

Fixed subgroups in Artin groups

Oli Jones, Nicolas Vaskou

We study fixed subgroups of automorphisms of any large-type Artin group $A_{Γ}$ . We define a natural subgroup $Aut_{Γ} (A_{Γ})$ of $Aut (A_{Γ})$ , and for every $γ\in \mathr…

Dyer groups: Centres, hyperbolicity, and acylindrical hyperbolicity

Homomorphisms between XL-type Artin groups

Property R∞​ for new classes of Artin groups

Rigidity and classification results for large-type Artin groups

Fixed subgroups in Artin groups

Property $R_{\infty}$ for new classes of Artin groups