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Class Field Theory


Research Paper (postgraduate), 2011

17 Pages, Grade: Postgraduate


Excerpt


Contents

1 Introduction

2 A brief survey of algebraic number theory

3 The ideal class group
3.1 Fractional ideals
3.2 The ideal class group

4 The decomposition group and Frobenius
4.1 Galois theory of finite fields
4.2 A Galois group action
4.3 The Artin symbol

5 Class field theory
5.1 Class field theory in unramified abelian extensions
5.2 Loosening the unramified condition

Excerpt out of 17 pages

Details

Title
Class Field Theory
College
University of Sheffield
Grade
Postgraduate
Author
Year
2011
Pages
17
Catalog Number
V175757
ISBN (eBook)
9783640968862
ISBN (Book)
9783640969296
File size
652 KB
Language
English
Keywords
class, field, theory, postgraduate
Quote paper
Daniel Fretwell (Author), 2011, Class Field Theory, Munich, GRIN Verlag, https://www.grin.com/document/175757

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