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Langlands’s Construction of the Taniyama Group

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Part of the Lecture Notes in Mathematics book series (LNM,volume 900)

Abstract

In this article we give a detailed description of Langlands’s construction of his Taniyama group. The first section reviews the definition and properties of the Serre group, and the following section discusses extensions of Galois groups by the Serre group. The construction itself is carried out in the third section, which also contains additional material required for V.

Keywords

  • Algebraic Group
  • Galois Group
  • Abelian Variety
  • Number Field
  • Hodge Structure

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

An erratum to this chapter is available at http://dx.doi.org/10.1007/978-3-540-38955-2_14

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References

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© 1982 Springer-Verlag Berlin Heidelberg

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Milne, J.S., Shih, K.y. (1982). Langlands’s Construction of the Taniyama Group. In: Hodge Cycles, Motives, and Shimura Varieties. Lecture Notes in Mathematics, vol 900. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38955-2_5

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  • DOI: https://doi.org/10.1007/978-3-540-38955-2_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11174-0

  • Online ISBN: 978-3-540-38955-2

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