Cohomology of Number Fields

• Main Authors: Neukirch, Jürgen (Author), Schmidt, Alexander (Author), Wingberg, Kay (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
• Edition: Second Edition.
• Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 323
• Subjects: Mathematics.; Algebraic geometry.; Group theory.; Number theory.; Number Theory.; Algebraic Geometry.; Group Theory and Generalizations.

Table of Contents:

• Part I Algebraic Theory: Cohomology of Profinite Groups
• Some Homological Algebra
• Duality Properties of Profinite Groups
• Free Products of Profinite Groups
• Iwasawa Modules
• Part II Arithmetic Theory: Galois Cohomology
• Cohomology of Local Fields
• Cohomology of Global Fields
• The Absolute Galois Group of a Global Field
• Restricted Ramification
• Iwasawa Theory of Number Fields
• Anabelian Geometry
• Literature
• Index.