Energy of harmonic functions and Gromov's proof of Stallings' theorem

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We provide the details for Gromov's proof of Stallings' theorem on groups with infinitely many ends using harmonic functions. The main technical result of the paper is a compactness theorem for a certain family of harmonic functions.
4 figures

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Group Theory, Differential Geometry, Geometric Topology, 53C43, 20E06, 20F65

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http://salesiana.dossiersoluciones.com/handle/123456789/135204

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.4231
 http://arxiv.org/abs/0707.4231

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arXiv