Direct embeddings of relatively hyperbolic groups with optimal $\ell^p$ compression exponent
Metric Geometry
2013-10-17 v3 Group Theory
Abstract
We prove that for all , every relatively hyperbolic group has compression exponent equal to the minimum of the exponents of its maximal parabolic subgroups. Moreover, this embedding can be explicitly described in terms of given embeddings of the maximal parabolic subgroups.
Keywords
Cite
@article{arxiv.1111.6013,
title = {Direct embeddings of relatively hyperbolic groups with optimal $\ell^p$ compression exponent},
author = {David Hume},
journal= {arXiv preprint arXiv:1111.6013},
year = {2013}
}
Comments
27 pages, 7 figures. Accepted for publication in Journal f\"ur die reine und angewandte Mathematik