Class Field Theory

• Κύριος συγγραφέας: Childress, Nancy (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2009.
• Σειρά: Universitext
• Θέματα: Mathematics.; Algebra.; Field theory (Physics).; Number theory.; Field Theory and Polynomials.; Number Theory.

Class field theory, the study of abelian extensions of algebraic number fields, is one of the largest branches of algebraic number theory. It brings together the quadratic and higher reciprocity laws of Gauss, Legendre, and others, and vastly generalizes them. Some of its consequences (e.g., the Che...

Πίνακας περιεχομένων:

• A Brief Review
• Dirichlet#x2019;s Theorem on Primes in Arithmetic Progressions
• Ray Class Groups
• The Id#x00E8;lic Theory
• Artin Reciprocity
• The Existence Theorem, Consequences and Applications
• Local Class Field Theory.