Nicolas Vaskou

collaborators

3 papers

math.GR2026

Property $R_{\infty}$ for generalized Higman groups

Ignat Soroko, Nicolas Vaskou

We give a unified proof of property $R_{\infty}$ for the Higman groups $H_{n}$ ( $n \geq 4$ ) and for their generalizations studied by Martin and Horbez--Huang. As a key step, we prove tha…

math.GR2026

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.GR2025

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…

Property R∞​ for generalized Higman groups

Property R∞​ for new classes of Artin groups

Homomorphisms between XL-type Artin groups

Property $R_{\infty}$ for generalized Higman groups

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