Rachel Skipper : "Finiteness properties of simple groups"

mardi 4 déc. 2018, 10:15 → 11:45 Europe/Paris

A group is said to be of type F_n if it admits a classifying space with
compact n-skeleton. We will consider the class of Roever-Nekrachevych
groups, a class of groups built out of self-similar groups and
Higman-Thompson groups, and use them to produce a simple group of type
F_{n-1} but not F_n for each n. These are the first known examples for n>2.

As a consequence, we find the second known infinite family of
quasi-isometry classes of finitely presented simple groups; the first is
due to Caprace and Rémy.

This is a joint work with Stefan Witzel and Matthew C. B. Zaremsky