Finiteness conditions for classifying spaces for the family of virtually cyclic subgroups

Brita Nucinkis (Royal Holloway, University of London)

Wednesday 17th May, 2017 13:15-14:15 Maths 331B

Abstract

A conjecture of Juan-Pineda and Leary states that any group admitting a cocompact model for the classifying space for the family of virtually cyclic subgroups has to b be virtually cyclic already. This conjecture has been proved for large classes of groups.

In this talk I will give an overview of some of these results and constructions, will discuss a weakened condition for these spaces, and will give examples of groups satisfying this condition. This is joint work with N. Petrosyan.

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