Direct embeddings of relatively hyperbolic groups with optimal l(p) compression exponent

作者：Hume David^*

来源：Journal fur die Reine und Angewandte Mathematik, 2015, 703(703): 147-172.

DOI：10.1515/crelle-2013-0040

We prove that for all p > 1, every relatively hyperbolic group has l(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 l(p) compression exponent 1, independent of those given by Bonk-Schramm, Buyalo-Dranishnikov-Schroeder, Gal and Tessera.

• 出版日期2015-6