2 papers
math.GR2026
Classification of Artin groups admitting retractions onto their parabolic subgroups
Bruno Aarón Cisneros de la Cruz, María Cumplido, Islam Foniqi +1
We classify the Artin groups that admit retractions onto all of their parabolic subgroups. Our approach relies on a detailed analysis of triangular subgroups, with a key ingredient…
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…