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Mathematics - Number Theory and Discrete Mathematics | Class Field Theory - -The Bonn Lectures- Edited by Alexander Schmidt

Class Field Theory

-The Bonn Lectures- Edited by Alexander Schmidt

Neukirch, Jürgen

Schmidt, Alexander (Ed.)

2013, XI, 184 p.

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

Content Level » Upper undergraduate

Keywords » algebraic number fields - class field theory - cohomology of finite groups

Related subjects » Algebra - Number Theory and Discrete Mathematics

Table of contents 

Cohomology of Finite Groups.- Local Class Field Theory.- Global Class Field Theory.

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