"Geometry and Analysis on Groups" Research Seminar
Time: 2017.10.24, 15:15–17:00
Location: Seminarraum 9, Oskar-Morgenstern-Platz 1, 2.Stock
Title: "The growth of groups, with
application to Thompson's group \(F\)."
Guttmann (University of Melbourne)
We have developed a variety of algorithms to generate coefficients of the cogrowth series of a number of finitely-presented infinite groups. We develop numerical methods to determine the asymptotics of the cogrowth series. As a result we provide the strongest numerical evidence yet that Thompson's group \(F\) is not amenable. We also analyse the behaviour of the Navas-Brin group \(B\). (Joint work with Andrew Elvey Price).