Kazhdan quotients of Golod-Shafarevich groups
Group Theory
2011-07-25 v2
Abstract
The main goal of this paper is to prove that every Golod-Shafarevich group has an infinite quotient with Kazhdan's property . In particular, this gives an affirmative answer to the well-known question about non-amenability of Golod-Shafarevich groups.
Keywords
Cite
@article{arxiv.0908.3734,
title = {Kazhdan quotients of Golod-Shafarevich groups},
author = {Mikhail Ershov and Andrei Jaikin-Zapirain},
journal= {arXiv preprint arXiv:0908.3734},
year = {2011}
}
Comments
38 pages, final preprint version (slightly different from the published version)