Uniform embeddability of relatively hyperbolic groups

Marius Dadarlat; Erik Guentner

Uniform embeddability of relatively hyperbolic groups

Group Theory 2007-05-23 v1 Geometric Topology

Authors: Marius Dadarlat , Erik Guentner

Abstract

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.

Keywords

hyperbolic groups group theory hyperbolic geometry

Cite

@article{arxiv.math/0501495,
  title  = {Uniform embeddability of relatively hyperbolic groups},
  author = {Marius Dadarlat and Erik Guentner},
  journal= {arXiv preprint arXiv:math/0501495},
  year   = {2007}
}

Comments

12 pages

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