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Langlands’s Construction of the Taniyama Group

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Hodge Cycles, Motives, and Shimura Varieties

Part of the book series: Lecture Notes in Mathematics ((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.

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

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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

  • eBook Packages: Springer Book Archive

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