Uniform embeddability of relatively hyperbolic groups

Marius Dadarlat; Erik Guentner

Uniform embeddability of relatively hyperbolic groups

群论 2007-05-23 v1 几何拓扑

作者: Marius Dadarlat , Erik Guentner

摘要

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.

关键词

hyperbolic groups group theory hyperbolic geometry

引用

@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}
}

备注

12 pages

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