Profinite completions of groups acting on rooted trees

Alejandra Garrido
University of Düsseldorf
6 Mar 2018, 14:00–15:00, Carslaw 373, University of Sydney


Groups of rooted tree automorphisms, and (weakly) branch groups in particular, have received considerable attention in the last few decades, due to the examples with unexpected properties that they provide, and their connections to dynamics and automata theory. These groups also showcase interesting phenomena in profinite group theory. I will discuss some of these and other profinite completions that one can use to study these groups, and how to find them.