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Uniform embeddability of relatively hyperbolic groups

Marius Dadarlat·Erik Guentner
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Abstract

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.

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Marius Dadarlat, Erik Guentner. 2005-01-27. Uniform embeddability of relatively hyperbolic groups. https://arxiv.org/abs/math/0501495

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