1 Table of Contents: “... -- § 3. G-Modules -- § 4. The Herbrand Quotient -- § 5. Kummer Theory -- II. General Class Field Theory...”

2 Table of Contents: “...to Global Class Field Theory -- I. Basic Tools and Notations -- II. Reciprocity Maps — Existence...”

3 Table of Contents: “... Class Field Theory -- V: Local Class Field Theory -- VI: Global Class Field Theory -- VII: Zeta...”

4 Table of Contents: “... -- VIII Elementary Properties of the Zeta Function and L-series -- Two Class Field Theory -- IX Norm Index...”

5 Table of Contents: “... -- VIII Elementary Properties of the Zeta Function and L-series -- Two Class Field Theory -- IX Norm Index...”

6 Table of Contents: “... of Tate and Nakayama -- X Galois Cohomology -- XI Class Formations -- Four Local Class Field Theory -- XII...”

7 Table of Contents: “...Algebra -- Categories -- Class field theory. Field extensions -- Geometry -- Finsler Spaces...”

8 Table of Contents: “.... Finite Determination of Class Number -- III. Introduction to Class Field Theory -- 14. Quadratic Forms...”

9 Table of Contents: “... -- IV Singular Algebraic Curves -- V Generalized Jacobians -- VI Class Field Theory -- VII Group...”

10 Table of Contents: “...3.3 Congruence Subgroups: One Side of Class Field Theory -- 3.4 Abelian Extensions: The Other Side...”

11 Table of Contents: “...1. Basic Number Theory -- 2. Class Field Theory -- 3. Galois Groups -- 4. Abelian Fields -- 5...”

12 “..., class field theory and algebraic geome­ try only strengthen the nineteenth century number theorists...”

13 Table of Contents: “... Class Field Theory of Function Fields -- Résultats de “Pureté” pour les Variétés Lisses Sur un Corps...”

14 Table of Contents: “... Tour of Class Field Theory -- 7 Tate’s Thesis and Applications -- Appendices -- Appendix A: Normed...”

15 Table of Contents: “... and the Class Number Formula -- 8: The Distribution of Primes and an Introduction to Class Field Theory...”

16 “...s, originally written as background for the Artin-Tate notes on class field theory, following the cohomological...”

17 “... of the cohomological treatment of class field theory by E. Artin and J. Tate. The bulk of the early contributions were...”

18 Table of Contents: “... -- The Establishment of the Takagi-Artin Class Field Theory -- Where Did Twentieth-Century Mathematics Go Wrong...”

19 “... of class field theory for the noncommutative case. Part I concentrates on the construction of all...”

20 Table of Contents: “.... Rationality Questions -- §3. Class Field Theory — A Brief Review -- §4. The Hilbert Class Field -- §5...”