# On the L^p-distorsion of finite quotients of amenable groups - Mathematics > Metric Geometry

On the L^p-distorsion of finite quotients of amenable groups - Mathematics > Metric Geometry - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We study the L^p-distortion of finite quotients of amenable groups. Inparticular, for every number p larger or equal than 2, we prove that thel^p-distortion of the finite lamplighter group grows like \log n^{1-p}. Wealso give the asymptotic behavior of the l^p-distortion of finite quotients ofcertain metabelian polycyclic groups and of the solvable Baumslag-Solitargroups BSm,1. The proofs are short and elementary.

Autor: Romain Tessera

Fuente: https://arxiv.org/