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

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

2010-08-23

arxiv.org/abs/1008.3766v2

Mathematics

Group Theory

19 pages, 5 figures. With respect to the previous version, some proofs have been detailed and the dimension of the cube comple

Scientific paper

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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