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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…
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…
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…