Geometry, Topology and Dynamics Seminar
Piotr Przytycki
Polish Academy of Sciences and UIUC
Random groups do not split
Abstract: This is joint work with Francois Dahmani and Vincent Guirardel. We study
random groups in the Gromov density model. We show that these groups do
not split and do not admit epimorphisms onto Z. This means that they do
not act on simplicial trees without a global fixed-point. It follows that
their boundaries are homeomorphic to the Menger curve.
Monday February 21, 2011 at 3:00 PM in SEO 636