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Norm series in high-dimensional local fields. (English. Russian original) Zbl 1140.11351

J. Math. Sci., New York 130, No. 3, 4675-4688 (2005); translation from Zap. Nauchn. Semin. POMI 305, 60-83 (2003).
Summary: In the present paper, the notion of norm series with respect to the norm residue symbol is generalized to high-dimensional local fields. Necessary and sufficient conditions for the existence of norm series are obtained.

MSC:

11S31 Class field theory; \(p\)-adic formal groups
11S70 \(K\)-theory of local fields
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References:

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