Groups, Geometry, and Dynamics
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Published online: 2012-11-10
A non-trivial example of a free-by-free group with the Haagerup propertyFrançois Gautero (1) Université de Nice Sophia Antipolis, Nice, France
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.
Keywords: Haagerup property, a-T-menability, free groups, semidirect products
Gautero François: A non-trivial example of a free-by-free group with the Haagerup property. Groups Geom. Dyn. 6 (2012), 677-699. doi: 10.4171/GGD/170