1 citations · 3 across the 12 of their papers we have counts for
12 papers
Acylindrical hyperbolicity of automorphism groups and property for generalized Higman groups
Ignat Soroko, Nicolas Vaskou
We consider the Higman groups () and their generalizations studied by Martin and Horbez--Huang. We prove that the automorphism groups of the Horbez--Huang groups on a…
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…
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…
Property for new classes of Artin groups
Ignat Soroko, Nicolas Vaskou
We establish property for Artin groups of spherical type , , their central quotients, and also for large hyperbolic-type free-of-infinity Artin groups and so…
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…
Fixed subgroups in Artin groups
Oli Jones, Nicolas Vaskou
We study fixed subgroups of automorphisms of any large-type Artin group . We define a natural subgroup of , and for every $γ\in \mathr…
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…
Automorphisms of large-type free-of-infinity Artin groups
Nicolas Vaskou
We compute explicitly the automorphism and outer automorphism group of all large-type free-of-infinity Artin groups. Our strategy involves reconstructing the associated Deligne com…
Random Artin groups
Antoine Goldsborough, Nicolas Vaskou
We introduce a new model of random Artin groups. The two variables we consider are the rank of the Artin groups and the set of permitted coefficients of their defining graphs. The…
The isomorphism problem for large-type Artin groups
Nicolas Vaskou
In this paper we solve the isomorphism problem for all large-type Artin groups. Our strategy involves reconstructing the Coxeter groups associated with large-type Artin groups in a…
Parabolic subgroups of large-type Artin groups
María Cumplido, Alexandre Martin, Nicolas Vaskou
We show that the geometric realisation of the poset of proper parabolic subgroups of a large-type Artin group has a systolic geometry. We use this geometry to show that the set of…
Acylindrical hyperbolicity for Artin groups of dimension 2
Nicolas Vaskou
In this paper, we show that every irreducible -dimensional Artin group of rank at least is acylindrically hyperbolic. We do this by studying the action of on its…