IUMJ

Title: On the commability and quasi-isometry classification of focal groups

Authors: Yves Cornulier

Issue: Volume 64 (2015), Issue 1, 115-150

Abstract:

We introduce the notion of commability between locally compact groups, namely the equivalence relation generated by co-compact inclusions and quotients by compact normal subgroups. We give a classification of focal hyperbolic locally compact groups up to commability. In the mixed case, it involves a real parameter, which is shown to be a quasi-isometry invariant.