Algebraic Patching

Assuming only basic algebra and Galois theory, the book develops the method of "algebraic patching" to realize finite groups and, more generally, to solve finite split embedding problems over fields. The method succeeds over rational function fields of one variable over "ample fields&...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Jarden, Moshe (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Springer Monographs in Mathematics,
Temas:
Algebra.
Algebraic fields.
Polynomials.
Group theory.
Field Theory and Polynomials.
Group Theory and Generalizations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1. Algebraic Patching
  • 2. Normed Rings
  • 3. Several Variables
  • 4. Constant Split Embedding Problems over Complete Fields
  • 5. Ample Fields
  • 6. Non-Ample Fields
  • 7. Split Embedding Problems over Complete Fields
  • 8. Split Embedding Problems over Ample Fields
  • 9. The Absolute Galois Group of C(t)
  • 10. Semi-Free Profinite Groups
  • 11. Function Fields of One Variable over PAC Fields
  • 12. Complete Noetherian Domains
  • Open Problems
  • References
  • Glossary of Notation
  • Index.

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