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arxiv: 0707.4231 · v1 · submitted 2007-07-28 · 🧮 math.GR · math.DG· math.GT

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

classification 🧮 math.GR math.DGmath.GT
keywords functionsharmonictheoremgromovproofstallingscertaincompactness
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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.

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