Rank gradient and torsion groups
Group Theory
2014-02-26 v5
Abstract
We construct first examples of infinite finitely generated residually finite torsion groups with positive rank gradient. In particular, these groups are non-amenable. Some applications to problems about cost and -Betti numbers are discussed.
Cite
@article{arxiv.0905.1322,
title = {Rank gradient and torsion groups},
author = {D. Osin},
journal= {arXiv preprint arXiv:0905.1322},
year = {2014}
}
Comments
Some misprints are corrected.