6 papers
Smallest quotients and profinite rigidity of irreducible spherical type Artin groups
Federica Gavazzi, Igor Haladjian, Luis Paris
We prove that irreducible spherical type Artin groups are profinitely rigid within the class of all spherical type Artin groups. As part of the proof, building on ideas of Kolay fo…
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…
Parabolic subgroups and word problem in virtual Artin groups
José Gálvez Mateos, Federica Gavazzi, Luis Paris
We begin by establishing two fundamental results on standard parabolic subgroups of virtual Artin groups. We first show that a standard parabolic subgroup is naturally isomorphic t…
On Decomposability of Virtual Artin Groups
Federica Gavazzi
A group is called decomposable if it can be expressed as a direct product of two proper subgroups, and indecomposable otherwise. This paper explores the decomposability of virtual…
Spaces Related to Virtual Artin Groups
Federica Gavazzi
This work explores the topological properties of virtual Artin groups, a recent extension of the ``virtual" concept - initially developed for braids - to all Artin groups, as intro…
Intersection of Parabolic Subgroups in Euclidean Braid Groups: a short proof
María Cumplido, Federica Gavazzi, Luis Paris
We give a short proof for the fact, already proven by Thomas Haettel, that the arbitrary intersection of parabolic subgroups in Euclidean Braid groups is again a p…