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Více informací o knize Cohomology of Number Fields

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Anotace knihy

The present second edition is a corrected and extended version of the first. It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. The first part provides algebraic background: cohomology of profinite groups, duality groups, free products, and homotopy theory of modules, with new sections on spectral sequences and on Tate cohomology of profinite groups. The second part deals with Galois groups of local and global fields: Tate duality, structure of absolute Galois groups of local fields, extensions with restricted ramification, Poitou-Tate duality, Hasse principles, theorem of Grunwald-Wang, Leopoldt s conjecture, Riemann s existence theorem, the theorems of Iwasawa and of afarevic on solvable groups as Galois groups, Iwasawa theory, and anabelian principles. New material is introduced here on duality theorems for unramified and tamely ramified extensions, a careful analysis of 2-extensions of real number fields and a complete proof of Neukirch s theorem on solvable Galois groups with given local conditions.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Geometry

• Plný název: Cohomology of Number Fields
• Autor: Jürgen Neukirch, Alexander Schmidt, Kay Wingberg
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 826
• EAN: 9783540378884
• ISBN: 354037888X
• ID: 01562524
• Nakladatelství: Springer, Berlin
• Hmotnost: 1523 g
• Rozměry: 235 × 155 × 36 mm
• Rok vydání: 2008

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