Non-amenable finitely presented torsion-by-cyclic groups
Group Theory
2007-05-23 v1 Functional Analysis
Abstract
We construct a finitely presented non-amenable group without free non-cyclic subgroups thus providing a finitely presented counterexample to von Neumann's problem. Our group is an extension of a group of finite exponent n >> 1 by a cyclic group, so it satisfies the identity [x,y]^n = 1.
Cite
@article{arxiv.math/0208237,
title = {Non-amenable finitely presented torsion-by-cyclic groups},
author = {A. Yu. Olshanskii and M. V. Sapir},
journal= {arXiv preprint arXiv:math/0208237},
year = {2007}
}