Rank gradient and torsion groups

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 $L^2$-Betti numbers are discussed.

Some misprints are corrected.

References in corpus (1)

• Rank gradient, cost of groups and the rank versus Heegaard genus problem

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