# Direct embeddings of relatively hyperbolic groups with optimal ℓp compression exponent

Hume, D

1 January 2015

## Journal:

Journal für die reine und angewandte Mathematik (Crelles Journal)

## Last Updated:

2020-01-21T13:05:57.58+00:00

703

2015

## DOI:

10.1515/crelle-2013-0040

147-172

## abstract:

We prove that for all p &gt; 1, every relatively hyperbolic group has  p compression exponent equal to the minimum of the exponents of its maximal peripheral subgroups. This improves results of Dadarlat–Guentner and Dreesen. As a first step we give a direct geometric proof that hyperbolic groups have  p compression exponent 1, independent of those given by Bonk–Schramm, Buyalo–Dranishnikov–Schroeder, Gal and Tessera.

672217

Not Submitted

Journal Article