Finiteness properties of simple groups (Rachel Skipper, ENS Lyon and University of Goettingen)

09.05.2019 13:00

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 Röver-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


Room 17, Att. unusual day, time and place, Séminaire "Groupes et Géométrie"

Organisé par

Section de mathématiques


Rachel Skipper, ENS Lyon and University of Goettingen

entrée libre


Catégorie: Séminaire

Mots clés: groupes et géométrie