Uniform embeddability of relatively hyperbolic groups

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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.
12 pages

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Group Theory, Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/73996

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501495
 http://arxiv.org/abs/math/0501495

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arXiv