Bonn Topology Group - Abstracts

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Talk

January 15th 2018
Rachel Skipper (GAU Göttingen/ÉNS de Lyon, France): Finiteness properties of simple groups.

Abstract

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\geq 3. 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 project with Stefan Witzel and Matthew C. B. Zaremsky.

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