Subgroups of Hyperbolic groups and finiteness properties

22 January 2014
Robert Kropholler
<p>Many interesting properties of groups are inherited by their subgroups examples of such are finiteness, residual finiteness and being free. People have asked whether hyperbolicity is inherited by subgroups, there are a few counterexamples in this area. I will be detailing the proof of some of these including a construction due to Rips of a finitely generated not finitely presented subgroup of a hyperbolic group and an example of a finitely presented subgroup which is not hyperbolic.</p>
  • Junior Topology and Group Theory Seminar