Geb. 20.30, SR 2.058

21.11.2024

Lewis Molyneux

15:45 Uhr

Abstract: Neretin's group is a generalisation of the perennially discussed Thompson groups out of the space of discrete topological groups and into the less well known space of Totally Disconnected Locally Compact Groups, and allowing for a much more complicated action on the boundary of the infinite rooted tree. Sauer and Thurmann were able to calculate a generalisation for the finiteness property F_\infty for this group, demonstrating a continuitation of properties from the discrete Thompson groups into the TDLC space. We examine a subgroup of Neretin's group which fixes a single point of the boundary of the infinite rooted tree, adapting Sauer and Thurmann's approach in order to demonstrate the F_\infty property for this subgroup. This is work in progress with Laura Bonn, Bianca Marchionna and Lewis Molyneux.