3 papers
math.GR2024
On Artin groups admitting retractions to parabolic subgroups
Bruno Aaron Cisneros de la Cruz, María Cumplido, Islam Foniqi
We generalize the retractions to standard parabolic subgroups for even Artin groups to FC-type Artin groups and other more general families. We prove that these retractions uniquel…
math.GR2024
Twisted right-angled Artin groups
Islam Foniqi
We present a complete rewriting system for twisted right-angled Artin groups. Utilizing the normal form coming from the rewriting system, we provide applications that illustrate di…
math.GR2023
Subgroups of even Artin groups of FC-type
Yago Antolín, Islam Foniqi
We prove a Tits alternative theorem for subgroups of finitely generated even Artin groups of FC type (EAFC groups), stating that there exists a finite index subgroup such that ever…