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Titlebook: Basic Number Theory; André Weil Book 19671st edition Springer-Verlag Berlin Heidelberg 1967 Cantor.Mathematica.field.number theory

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楼主: Animosity
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Local classfield theoryThe purpose of classfield theory is to give a description of the abelian extensions of the types of fields studied in this book, viz., local fields and .-fields. Here we assemble part of the formal machinery common to both types.
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Locally compact fieldsmorphic to the prime field .. = ./., with which we may identify it. Then . may be regarded as a vector-space over ..; as such, it has an obviously finite dimension ., and the number of its elements is ... If . is a subfield of a field . with .. elements, . may also be regarded e.g. as a left vector-
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