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
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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
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