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

2010/08/23 by Gautero, François
#20E05 #20E22 #20F65 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1008.3766

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.

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