Commability and focal locally compact groups
Group Theory
2017-12-08 v4
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.
Cite
@article{arxiv.1306.4194,
title = {Commability and focal locally compact groups},
author = {Yves Cornulier},
journal= {arXiv preprint arXiv:1306.4194},
year = {2017}
}
Comments
27 pages, no figure. A previous version was entitled "Commability and focal groups". v4: errata in section 2 incorporated after publication