Beschreibung:
Graduate-level course covers the general theory of factorization of ideals in Dedekind domains, the use of Kummer's theorem, proofs of the Dirichlet unit theorem, and Minkowski bounds on element and ideal norms. 2003 edition.
1. Introduction2. Norms, Traces and Discriminants
3. Dedekind Domains
4. Factorization of Prime Ideals in Extensions
5. The Ideal Class Group
6. The Dirichlet Unit Theorem
7. Cyclotomic Extensions
8. Factorization of Prime Ideals in Galois Extensions
9. Local Fields
Appendices
Solutions to Problems
Index