2 papers
math.GR2026
A Deligne complex for virtual Artin groups
Federica Gavazzi, Alexandre Martin
Virtual Artin groups were recently introduced by Bellingeri-Paris-Thiel as a generalisation of virtual braid groups. In this article, we initiate a geometric study of these groups…
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…