Direct embeddings of relatively hyperbolic groups with optimal ℓp compression exponent

Direct embeddings of relatively hyperbolic groups with optimal ℓp compression exponent

We prove that for all p > 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 group...

Deskribapen osoa

Xehetasun bibliografikoak
Egile nagusia: Hume, D
Formatua: Journal article
Argitaratua: De Gruyter 2015
Deskribapena
Gaia:We prove that for all p > 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.

Antzeko izenburuak