Rank gradient and torsion groups

D. Osin

Type: Article

Publication Date: 2010-11-03

Citations: 35

DOI: https://doi.org/10.1112/blms/bdq075

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 L2-Betti numbers are discussed.

Locations

Bulletin of the London Mathematical Society - View
arXiv (Cornell University) - View - PDF
DataCite API - View

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