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.
Reihe
Sprache
Verlagsort
Produkt-Hinweis
Broschur/Paperback
Klebebindung
Maße
Höhe: 231 mm
Breite: 154 mm
Dicke: 9 mm
Gewicht
ISBN-13
978-0-486-47754-1 (9780486477541)
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Schweitzer Klassifikation
1. Introduction
2. 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
