Groups and Dynamics Seminar

Date: March 23, 2022

Time: 3:00PM - 4:00PM

Location: online

Speaker: Nicolas Matte Bon, University of Lyon

Title: Growth of actions of finitely generated solvable groups

Abstract: Given a group G, we are interested in the possible behaviours of the growth of the graphs of faithful actions of G. It is well known that many finitely generated groups G admit faithful actions whose graph is much smaller than the growth of the group, for instance the latter is in many cases linear. We are interested in obstruction to the existence of such actions of small growth. To formalise this, given a function f(n), we say that a group G has Schreier growth gap f(n) if every faithful G-set X has growth at least f(n). I will discuss results establishing Schreier growth gaps in the setting of finitely generated solvable groups. This is joint work with Adrien Le Boudec.