Geb. 20.30, SR 2.058

06.02.2025

Eduard Schesler

15:45 Uhr

Abstract: Given an infinite rooted tree T, I will extend some known constructions of groups acting continuously on T by inserting a small amount of discontinuous behavior. As a result, we obtain a finitely generated, residually finite group G with a variety of exotic properties: Every finite quotient of G is a direct product of non-abelian simple groups, G is amenable while possessing an infinite simple quotient Q, the profinite completion of G coincides with the profinite completion of a group with property (τ), G gives rise to a continuum of so-called Grothendieck pairs. After that I will discuss some generalizations of the construction of G and Q as well as an interpretation of these groups in terms of volume-preserving asynchronous automata. This talk is based on a joint work with Steffen Kionke.