Uniform embeddability of relatively hyperbolic groups

Marius Dadarlat, Erik Guentner
2007 Journal für die Reine und Angewandte Mathematik  
Let Γ be a finitely generated group which is hyperbolic relative to a finite family {H 1 , . . . , H n } of subgroups. We prove that Γ is uniformly embeddable in a Hilbert space if and only if each subgroup H i is uniformly embeddable in a Hilbert space.
doi:10.1515/crelle.2007.081 fatcat:hstkm6qgtbe63hdgzvkghjpe4q