On the first \(L^p\)-cohomology of discrete groups. (Q2372590)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the first \(L^p\)-cohomology of discrete groups. |
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On the first \(L^p\)-cohomology of discrete groups. (English)
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31 July 2007
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Summary: For finitely generated groups \(\Gamma\), the isomorphism between the first \(\ell^p\)-cohomology \(H^1_{(p)}(\Gamma)\) and the reduced 1-cohomology with coefficients in \(\ell^p(\Gamma)\) is exploited to obtain vanishing results for \(H^1_{(p)}(\Gamma)\). The following cases are treated: groups acting on trees, groups with infinite center, wreath products, and lattices in product groups.
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first \(L^p\)-cohomology
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\(p\)-harmonic functions
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trees
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wreath products
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lattices
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amenability
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