Class Field Theory (Google eBook)

Front Cover
American Mathematical Soc. - Mathematics - 192 pages
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This classic book, originally published in 1968, is based on notes of a year-long seminar the authors ran at Princeton University. The primary goal of the book was to give a rather complete presentation of algebraic aspects of global class field theory ... In this revised edition, two mathematical additions complementing the exposition of the original text are made. The new edition also contains several new footnotes, additional references, and historical comments.
  

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Contents

The First Fundamental Inequality
11
Second Fundamental Inequality
19
Reciprocity Law
35
The Existence Theorem
55
Connected Component of Idele Classes
65
The GrunwaldWang Theorem
73
Higher Ramification Theory
83
Explicit Reciprocity Laws
109
Group Extensions
127
Abstract Class Field Theory
143
Weil Groups
167
Bibliography
191
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