Asymptotic Dimension of Finitely Presented Groups

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It is proven that if a finitely presented group is one ended it has asymptotic dimension bigger than one. It follows that finitely presented groups with asdim 1 are virtually free. A counterexample is given for the finitely generated case.
7 pages,no figures

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Algebraic Topology, Algebraic Geometry, Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/137062

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610541
 http://arxiv.org/abs/math/0610541

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arXiv