Algebraic K-theory spectra of non-exceptional two-regular number fields (Q2707514)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic K-theory spectra of non-exceptional two-regular number fields |
scientific article |
Statements
30 November 2001
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\(K\)-theory spectrum
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\(2\)-regular number field
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homotopy type
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Algebraic K-theory spectra of non-exceptional two-regular number fields (English)
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The author identifies the \(2\)-adic homotopy type of the algebraic \(K\)-theory spectrum \(K(R_F)\) of the ring of \(2\)-integers \(R_F:=O_F[\frac{1}{2}]\) in a number field \(F\), provided \(F\) is non-exceptional and \(2\)-regular. The first condition means that the extension \(F(\zeta_{2^n})/F\) is cyclic for all \(n\), and the second condition means that \(F\) has only one dyadic prime and the class group of \(R_F\) has odd order.NEWLINENEWLINEFor the entire collection see [Zbl 0955.00041].
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