Class Field Theory

pdf (current version 4.00)

v2.01; first version on the web.
v3.1; May 6, 1997; substantially revised and expanded from v2.01; index; 222 pages.
v4.00; March 2, 2008; corrected, revised, and expanded; 287 pages

Contents

1. Local Class Field Theory: Lubin-Tate Extensions
2. Cohomology of Groups.
3. Local Class Field Theory Continued.
4. Brauer Groups
5. Global Class Field Theory: Statements
6. L-series and the Density of Primes
7. Global Class Field Theory: Proofs
8. Complements (Power reciprocity laws; quadratic forms; etc.)

Errata

pdf (old version 3.10)