Direct embeddings of relatively hyperbolic groups with optimal $\ell^p$ compression exponent

Details Direct embeddings of relatively hyperbolic groups with optimal $\ell^p$ compression exponent Direct embeddings of relatively hyperbolic groups with optimal $\ell^p$ compression exponent

2011-11-25

arxiv.org/abs/1111.6013v1

Mathematics

Metric Geometry

25 pages

Scientific paper

We prove that for all $p>1$, every relatively hyperbolic group has $\ell^p$
compression exponent equal to the minimum of the exponents of its maximal
parabolic subgroups.

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