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Cohomology of Number Fields (Grundlehren der mathematischen Wissenschaften) (Grundlehren der mathematischen Wissenschaften) [Hardcover]

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Item description for Cohomology of Number Fields (Grundlehren der mathematischen Wissenschaften) (Grundlehren der mathematischen Wissenschaften) by Jürgen Neukirch...

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.





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Item Specifications...


Pages   825
Est. Packaging Dimensions:   Length: 9.3" Width: 6.4" Height: 1.4"
Weight:   2.4 lbs.
Binding  Hardcover
Release Date   Mar 27, 2008
Publisher   Springer
ISBN  354037888X  
ISBN13  9783540378884  


Availability  116 units.
Availability accurate as of May 25, 2017 06:52.
Usually ships within one to two business days from La Vergne, TN.
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Product Categories

1Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Geometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Algebraic Geometry
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Group Theory
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Number Theory
5Books > Subjects > Science > General
6Books > Subjects > Science > Mathematics > General
7Books > Subjects > Science > Mathematics > Geometry & Topology > Algebraic Geometry
8Books > Subjects > Science > Mathematics > Pure Mathematics > Group Theory
9Books > Subjects > Science > Mathematics > Pure Mathematics > Number Theory



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