Commability and focal locally compact groups

Abstract

We introduce the notion of commability between locally compact groups, namely the equivalence relation generated by cocompact 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.

27 pages, no figure. A previous version was entitled "Commability and focal groups". v4: errata in section 2 incorporated after publication

References in corpus (2)

• Contracting automorphisms and L^p-cohomology in degree one
• On the quasi-isometric classification of locally compact groups

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