Neukirch J. Class Field Theory

Berlin: Springer, 1986. — 145 p.Group and Field Theoretic Foundations
Infinite Galois Theory
Profinite Groups
G-Modules
The Herbrand Quotient
Kummer Theory
General Class Field Theory
Frobenius Elements and Prime Elements
The Reciprocity Map
The General Reciprocity Law
Class Fields
Infinite Extensions
Local Class Field Theory
The Class Field Axiom
The Local Reciprocity Law
Local Class Fields
The Norm Residue Symbol over Q_p
The Hilbert Symbol
Formal Groups
Fields of π^n-th Division Points
Higher Ramification Groups
The Weil Group
Global Class Field Theory
Algebraic Number Fields
Ideles and Idele Classes
Galois Extensions
Kummer Extensions
The Class Field Axiom
The Global Reciprocity Law
Global Class Fields
The Ideal- Theoretic Formulation of Class Field Theory
The Reciprocity Law of Power Residues
Zeta Functions and L-Series
The Riemann Zeta Function
The Dedekind Zeta Function
The Dirichlet L-Series
The Artin L-Series
The Equality of Dirichlet L-Series and Artin L-Series
Density Theorems
Literature