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Resolvents, Galois Gauss Sums, Root Numbers, Conductors

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Galois Module Structure of Algebraic Integers

Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete ((MATHE3,volume 1))

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Abstract

The main purpose of this chapter is the proof of Theorems 5 and 7 and of Proposition I.6.2. We shall proceed essentially by reduction to local fields. On the way we shall then have to derive results, on resolvents and Galois Gauss sums etc., which are of independent interest.

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© 1983 Springer-Verlag Berlin Heidelberg

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Fröhlich, A. (1983). Resolvents, Galois Gauss Sums, Root Numbers, Conductors. In: Galois Module Structure of Algebraic Integers. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-68816-4_5

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  • DOI: https://doi.org/10.1007/978-3-642-68816-4_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-68818-8

  • Online ISBN: 978-3-642-68816-4

  • eBook Packages: Springer Book Archive

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