Title: Finite quotients of right-angled Artin groups

Speaker: ZIhao Liu, Rice University

Abstract: Profinite rigidity is the study of the extent to which a group is determined by its set of finite quotients, or, in more sophisticated terminology, by its profinite completion. Right-angled Artin groups are defined by presentations in which the only relations are commutation relations between selected generators. In this talk, I will show that right-angled Artin groups are profinitely rigid among all Artin groups: if an Artin group has the same finite quotients as a right-angled Artin group, then the two groups are isomorphic. I will explain how finite quotients detect the right-angled structure and discuss related recognition results using only finite (p)-group quotients.