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

作者：Gautero Francois^*

来源：Groups, Geometry, and Dynamics, 2012, 6(4): 677-699.

DOI：10.4171/GGD/170

• Haagerup property
• a-T-menability
• free groups
• semidirect products

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 nonlinear semidirect product between two non abelian free groups which satisfies the Haagerup property.

• 出版日期2012