Abstract. After explaining the role of totally disconnected groups in the world of locally compact groups, I introduce well-known examples of simple totally disconnected locally compact groups, the so-called tree almost automorphism groups. I discuss what the correct notions of being finitely generated and finitely presented in the totally disconnected setting are and propose higher dimensional versions of these in a geometric fashion. It is joint work with Roman Sauer that the aforementioned tree almost automorphism groups satisfy these higher finiteness conditions which generalizes previous results by Adrien Le Boudec.
On Finiteness Properties of Totally Disconnected Locally Compact Groups
20.30 SR 2.058
Dr. Werner Thumann