Uniform embeddability of relatively hyperbolic groups

Details Uniform embeddability of relatively hyperbolic groups Uniform embeddability of relatively hyperbolic groups

2005-01-27

arxiv.org/abs/math/0501495v1

Mathematics

Group Theory

12 pages

Scientific paper

Let $\Gamma$ be a finitely generated group which is hyperbolic relative to a
finite family $\{H_1,...,H_n\}$ of subgroups. We prove that $\Gamma$ 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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