Title: Virtually cyclic dimension of 3-manifold groups
Speaker: Luis Jorge Sanchez Saldana (Ohio State University)
Abstract: A group is virtually cyclic if it contains a finite-index cyclic subgroup. Let G be a discrete group. A model for the classifying space of G and the family of virtually cyclic subgroups is a G-CW-complex X such that every isotropy group is virtually cyclic and the fixed point set of every virtually cyclic subgroup of G is contractible. Such a model always exists and it is unique up to G-homotopy equivalence. The minimum n such that there is a model for the classifying space of G is called the virtually cyclic dimension of G. In this talk we will describe the virtually cyclic dimension for the fundamental group of an oriented, connected, closed three manifold.
This is joint work with Jean-François Lafont and Kyle Joecken.