Right-angled Artin groups in hierarchically hyperbolic groups

Sangrok Oh (Basque)

Abstract: Hierarchically hyperbolic groups form a broad class of groups characterized by axioms inspired by mapping class groups. In this talk, we will first show that any finite collection of elements in a mapping class group generates a right-angled Artin subgroup once taken to sufficiently large powers. We will then discuss how this phenomenon extends, under suitable assumptions, to the setting of hierarchically hyperbolic groups.