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most citedRelatively Hyperbolic Groups with Rapid Decay Property

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math.GR2002

Non-amenable finitely presented torsion-by-cyclic groups

A. Yu. Olshanskii, M. V. Sapir

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…