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Class field theory

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Providence AMS Chelsea Publishing 2009Description: vii, 192 p. illISBN:
  • 9780821844267 (HB)
Subject(s):
Contents:
V The first fundamental inequality VI Second fundamental inequality VII Reciprocity law VIII The existence theorem IX Connected component of Idèle classes X The Grunwald-Wang theorem XI Higher ramification theory XII Explicit reciprocity laws XIII Group extensions XIV Abstract class field groups XV Weil groups
Summary: 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.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 511.236 ART (Browse shelf(Opens below)) Available 61454

Includes bibliography (p. 191-192).

V The first fundamental inequality
VI Second fundamental inequality
VII Reciprocity law
VIII The existence theorem
IX Connected component of Idèle classes
X The Grunwald-Wang theorem
XI Higher ramification theory
XII Explicit reciprocity laws
XIII Group extensions
XIV Abstract class field groups
XV Weil groups

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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The Institute of Mathematical Sciences, Chennai, India