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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
Final del extracto de 17 páginas
- Citar trabajo
- Daniel Fretwell (Autor), 2011, Class Field Theory, Múnich, GRIN Verlag, https://www.grin.com/document/175757
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