Class Field Theory

-The Bonn Lectures- Edited by Alexander Schmidt

Authors: Neukirch, Jürgen

Editors: Schmidt, Alexander (Ed.)

  • Clear presentation
  • Quick and immediate access to the subject
  • A classic (established and prominent German original)
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About this Textbook

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.

Reviews

From the reviews:

“Offer concise treatments of independent frameworks, each fully adequate for establishing the subject’s main results. The current work, actually a new English translation of notes from 1969, develops, cleanly and concisely, the purely algebraic cohomological approach invented by C. Chevalley. … Summing Up: Recommended. Upper-division undergraduates through researchers/faculty.” (D. V. Feldman, Choice, Vol. 51 (5), January, 2014)

“This manuscript provides the reader a quick and immediate access to class field theory, and for sure it can be suggested as a first introduction to the subject, thanks to the very clearly written proofs and to the accent posed on motivating the results and relating them to the more general context.” (Alessandro Cobbe, zbMATH, Vol. 1282, 2014)


Table of contents (3 chapters)

  • Part I Cohomology of Finite Groups

    Neukirch, Jürgen

    Pages 1-60

  • Part II Local Class Field Theory

    Neukirch, Jürgen

    Pages 61-110

  • Part III Global Class Field Theory

    Neukirch, Jürgen

    Pages 111-179

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-642-35437-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-642-35436-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Class Field Theory
Book Subtitle
-The Bonn Lectures- Edited by Alexander Schmidt
Authors
Editors
  • Alexander Schmidt
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-35437-3
DOI
10.1007/978-3-642-35437-3
Softcover ISBN
978-3-642-35436-6
Edition Number
1
Number of Pages
XI, 184
Topics