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The Kneser relation and the Hilbert pairing in multidimensional local field
Authors:K. F. Lai  S. V. Vostokov
Affiliation:Department of Mathematics, St. Petersburg University, 198904 St. Petersburg, Russia
Abstract:We generalize the Kneser relation to multidimensional local fields and use it to obtain an explicit formula for the Hilbert pairing of multidimensional local fields directly from the definition of the pairing. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Hilbert pairing  multidimensional local fields  Kneser relation  Milnor K ‐groups
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