Uniform embeddability of relatively hyperbolic groups
Marius Dadarlat, Erik Guentner
Abstract
Let Γ be a finitely generated group which is hyperbolic relative to a finite family \H1,...,Hn\ of subgroups. We prove that Γ is uniformly embeddable in a Hilbert space if and only if each subgroup Hi is uniformly embeddable in a Hilbert space.
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