Geodesic
On the Milnor $K$-groups of complete discrete valuation fields
Documenta mathematica, Tome 5 (2000), pp. 151-200.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: For a discrete valuation field $K$, the unit group $K^{\times}$ of $K$ has a natural decreasing filtration with respect to the valuation, and the graded quotients of this filtration are given in terms of the residue field. The Milnor $K$-group $\MK_q(K)$ is a generalization of the unit group, and it also has a natural decreasing filtration. However, if $K$ is of mixed characteristics and has an absolute ramification index greater than one, the graded quotients of this filtration are not yet known except in some special cases.
Classification : 19D45, 11S70
Keywords: the Milnor $K$-group, complete discrete valuation field, higher local class field theory 
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     title = {On the {Milnor} $K$-groups of complete discrete valuation fields},
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Nakamura, Jinya. On the Milnor $K$-groups of complete discrete valuation fields. Documenta mathematica, Tome 5 (2000), pp. 151-200. http://geodesic.mathdoc.fr/item/DOCMA_2000__5__a14/