JournalsggdVol. 6, No. 4pp. 677–699

A non-trivial example of a free-by-free group with the Haagerup property

  • François Gautero

    Université de Nice Sophia Antipolis, Nice, France
A non-trivial example of a free-by-free group    with the Haagerup property cover
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Abstract

The aim of this note is to prove that the group of Formanek–Procesi acts properly isometrically on a finite dimensional CAT(0) cube complex. This gives a first example of a non-linear semidirect product between two non abelian free groups which satisfies the Haagerup property.

Cite this article

François Gautero, A non-trivial example of a free-by-free group with the Haagerup property. Groups Geom. Dyn. 6 (2012), no. 4, pp. 677–699

DOI 10.4171/GGD/170