Rank gradient and torsion groups

Details Rank gradient and torsion groups Rank gradient and torsion groups

2009-05-08

arxiv.org/abs/0905.1322v5

Mathematics

Group Theory

Some misprints are corrected.

Scientific paper

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.

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