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The Hilbert symbol for tamely ramified Abelian extensions of 2-adic number fields

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Bibliography

  1. V. Diekert, Über die Absolute Galoisgruppe dyadischer Zahlkörper, J. reine angew. Math.350 (1984), 152–172

    Google Scholar 

  2. A. Fröhlich andA. M. McEvett, Forms over Rings with Involution, J. Algebra12 (1969), 79–104

    Google Scholar 

  3. K. Iwasawa, On Galois Groups of Local Fields, Trans. Amer. Math. Soc.80 (1955), 448–469

    Google Scholar 

  4. U. Jannsen, Über Galoisgruppen lokaler Körper, Invent. math.70 (1982), 53–69

    Google Scholar 

  5. U. Jannsen andK. Wingberg, Die Struktur der absoluten Galoisgruppep-adischer Zahlkörper, Invent. math.70 (1982), 71–89

    Google Scholar 

  6. A. V. Jakovlev, The Galois Group of the Algebraic Closure of a Local Field, Math. USSR-Izv.2 (1968), 1231–1269

    Google Scholar 

  7. A. V. Jakovlev, Symplectic Spaces with Operators over Commutative Rings, Vestnik. Leningr. Univ. Math.2 (1976), 339–346

    Google Scholar 

  8. H. Koch, Über Darstellungsräume und die Struktur der multipikativen Gruppe einesp-adischen Zahlkörpers, Math. Nachr.26 (1963), 67–100

    Google Scholar 

  9. H. Koch, Über das Normenrestsymbol einer lokalen unverzweigten Erweiterung von 2-Potenzgrad, Math. Nachr.52 (1972), 355–369

    Google Scholar 

  10. H. Koch, Galoissche Theorie derp-Erweiterungen, (1970), Springer-Verlag

  11. L. Simons, The Structure of the Hilbert Symbol for Unramified Extensions of 2-adic Number Fields, Ph. D. Thesis (1986), McGill University

  12. C. T. C. Wall, Norms of Units in Group Rings, Proc. Lon. Math. Soc.29 (1974), 593–632

    Google Scholar 

  13. G. Zelvenskii, On the Algebraic Closure of a Local Field forp=2, Math. USSR-Izv.6 (1972), 925–938

    Google Scholar 

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  1. University of Vermont, USA

    Lloyd D. Simons

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  1. Lloyd D. Simons
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Simons, L.D. The Hilbert symbol for tamely ramified Abelian extensions of 2-adic number fields. Manuscripta Math 58, 345–362 (1987). https://doi.org/10.1007/BF01165892

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  • DOI: https://doi.org/10.1007/BF01165892

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