Class Field Theory, 74 ed - ISBN:0805302913

Class Field Theory, 74 ed

Date: 11 April 2011, 15:18

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This is a chunk of the notes of the Artin-Tate seminar on class field theory given at Princeton University in 1951-1952, namely the part dealing with global class field theory (Chapters 5 through 12) and the part dealing with the abstract theory of class formations and Weil groups (Chapters 13-15). The first four chapters, which are not included, covered the cohomology theory of groups, the fundamentals of algebraic number theory, a preliminary discussion of class formations, and local class field theory. In view of these missing sections, the reader will encounter missing references and other minor flaws of an editorial nature, and also some unexplained notations. We have written a few pages below recalling some of these notations and outlining the local class field theory, in an attempt to reduce the "prerequisites" for reading these notes to a basic knowledge of the cohomology of groups and of algebraic theory, together with patience.

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