Groups and Dynamics Seminar

Date: November 4, 2020

Time: 12:00PM - 1:00PM

Location: online

Speaker: George Willis, The University of Newcastle, Australia

Title: Scale Groups

Abstract: Scale groups are closed, vertex-transitive groups of automorphisms of a regular tree that fix an end of the tree. These concrete groups emerge from the structure theory of abstract totally disconnected, locally compact groups. There is also a very close correspondence between scale groups and closed self-replicating groups, which are groups of automorphisms of a rooted tree. The role of scale groups in the study of general totally disconnected, locally compact groups and their connection with self-replicating groups will be explained in the talk.