Approximating \(K_ *(\mathbb{Z})\) through degree five (Q690347)
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scientific article; zbMATH DE number 458846
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximating \(K_ *(\mathbb{Z})\) through degree five |
scientific article; zbMATH DE number 458846 |
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Approximating \(K_ *(\mathbb{Z})\) through degree five (English)
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6 January 1994
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The paper continues the computations of the higher \(K\)-groups of the rational integers \(\mathbb{Z}\). By means of a certain poset spectral sequence, assuming a conjecture about the rate of convergence of the filtration, the author concludes that \(K_ 4(\mathbb{Z}) = 0\) and \(K_ 5(\mathbb{Z})\) is the free Borel summand plus two-torsion of order at most eight [cf. \textit{W. Dwyer} and \textit{E. Friedlander}, Contemp. Math. 55, 135-147 (1986; Zbl 0592.18009)].
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rank filtration
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\(K\)-theory of the integers
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poset spectral sequence
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