Commability and focal locally compact groups

Yves Cornulier

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arXiv · 1306.4194

Commability and focal locally compact groups

Yves Cornulier

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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.

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Yves Cornulier. 2013-06-18. Commability and focal locally compact groups. https://arxiv.org/abs/1306.4194

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