Groups and Dynamics Seminar

Date: February 28, 2018

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Yaroslav Vorobets, Texas A&M

Title: Finite generation of topological full groups

Abstract: Topological full groups provide a connection between topological dynamics and group theory. A countable transformation group is associated to a dynamical system and, as an abstract group, it completely encodes the dynamics. It is known that the derived group of the topological full group is finitely generated provided that dynamics is minimal and expansive. However the group itself need not be finitely generated. I am going to discuss issues with finite generation and then present a new example of a finitely generated topological full group.