Class Field Theory

-The Bonn Lectures- Edited by Alexander Schmidt

  • Jürgen Neukirch

Table of contents

  1. Front Matter
    Pages I-XI
  2. Jürgen Neukirch
    Pages 1-60
  3. Jürgen Neukirch
    Pages 61-110
  4. Jürgen Neukirch
    Pages 111-179
  5. Back Matter
    Pages 181-184

About this book


The present manuscript is an improved edition of a text that first appeared under the same title in Bonner Mathematische Schriften, no.26, and originated from a series of lectures given by the author in 1965/66 in Wolfgang Krull's seminar in Bonn. Its main goal is to provide the reader, acquainted with the basics of algebraic number theory, a quick and immediate access to class field theory. This script consists of three parts, the first of which discusses the cohomology of finite groups. The second part discusses local class field theory, and the third part concerns the class field theory of finite algebraic number fields.


algebraic number fields class field theory cohomology of finite groups

Authors and affiliations

  • Jürgen Neukirch
    • 1
  1. 1., Fakultät für MathematikUniversität RegensburgRegensburgGermany

Bibliographic information