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Abhyankar's lemma and the class group

Part of the Lecture Notes in Mathematics book series (LNM,volume 751)

Keywords

  • Class Group
  • Galois Group
  • Number Field
  • Class Field
  • Finite Extension

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Bibliography

  1. A. Brumer, The Picard group of Qab (preprint).

    Google Scholar 

  2. A. Frohlich, The Genus Field and Genus Group in Finite Number Fields II, Mathematica 6 (1959), 142–146.

    MathSciNet  MATH  Google Scholar 

  3. Y. Furuta, The Genus Field and Genus Number in Finite Number Fields, Nagoya Math. J. 29 (1967), 281–285.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Y. Furuta, Uber das Geschlecht und die Klassenzahl eines relative-Galoissches Zahlkor pers von Primzalpotenzgrade, Nagoya Math. J. 37 (1970), 197–200.

    CrossRef  MathSciNet  Google Scholar 

  5. M. Ishida, The Genus Field of Algebraic Number Fields, Springer Lecture Notes #555.

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  6. S. Lang, Algebraic Number Theory, A+W, 1970.

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© 1979 Springer-Verlag

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Cornell, G. (1979). Abhyankar's lemma and the class group. In: Nathanson, M.B. (eds) Number Theory Carbondale 1979. Lecture Notes in Mathematics, vol 751. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062703

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  • DOI: https://doi.org/10.1007/BFb0062703

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09559-0

  • Online ISBN: 978-3-540-34852-8

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