2 papers
math.GR2025
Fundamental techniques in the study of parabolic subgroups of Artin groups
María Cumplido
This survey was written on the occasion of the course I gave at the Winterbraids XIV workshop in Bordeaux (2025). Its main purpose is to present the techniques that have proven mos…
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…