7 papers · 1 filter
Property for generalized Higman groups
Ignat Soroko, Nicolas Vaskou
We give a unified proof of property for the Higman groups () and for their generalizations studied by Martin and Horbez--Huang. As a key step, we prove tha…
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…
Homomorphisms between XL-type Artin groups
MartÃn 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…
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 co…
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…
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…