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Milnor \(K\)-groups modulo \(p^{n}\) of a complete discrete valuation field - MaRDI portal

Milnor \(K\)-groups modulo \(p^{n}\) of a complete discrete valuation field (Q431734)

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scientific article; zbMATH DE number 6051467
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English
Milnor \(K\)-groups modulo \(p^{n}\) of a complete discrete valuation field
scientific article; zbMATH DE number 6051467

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    Milnor \(K\)-groups modulo \(p^{n}\) of a complete discrete valuation field (English)
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    30 June 2012
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    For a mixed characteristic complete discrete valuation field \(K\) which contains a \(p^{n}\)-th root of unity, the author determines the graded quotients of the filtration on the Milnor \(K\)-groups \(K_{q}^{M}(K)\) modulo \(p^{n}\) in terms of differential forms of the residue field of \(K\).
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    Milnor \(K\)-groups
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    complete discrete valuation field
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