Class Field 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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Childress, Nancy (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Universitext,
Temas:
Algebraic fields.
Polynomials.
Number theory.
Field Theory and Polynomials.
Number Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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