Non-amenable finitely presented torsion-by-cyclic groups

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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 extension of a group of finite exponent n >> 1 by a cyclic group, so it satisfies the identity [x,y]^n = 1.

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Group Theory, Functional Analysis, 20F05; 20F50; 20F65

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http://salesiana.dossiersoluciones.com/handle/123456789/64803

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0208237
 http://arxiv.org/abs/math/0208237

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arXiv