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Class Field Theory: From Theory to Practice [Hardcover]

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Item description for Class Field Theory: From Theory to Practice by H. Cohen Georges Gras...

Global class field theory is a major achievement of algebraic number theory, based on the functorial properties of the reciprocity map and the existence theorem. The author works out the consequences and the practical use of these results by giving detailed studies and illustrations of classical subjects (classes, idles, ray class fields, symbols, reciprocity laws, Hasse's principles, the Grunwald--Wang theorem, Hilbert's towers,...). He also proves some new or less-known results (reflection theorem, structure of the abelian closure of a number field) and lays emphasis on the invariant T_p, of abelian p-ramification, which is related to important Galois cohomology properties and p-adic conjectures. This book gives much material in an elementary way, and is suitable for students, researchers, and all who are fascinated by this theory.

In the corrected 2nd printing 2005, the author improves many details all along the book (e.g., he gives an interpretation of the Spiegelungssatz for the pth cyclotomic field regarding the Kummer--Vandiver conjecture in a probabilistic point of view).

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Item Specifications...

Pages   491
Est. Packaging Dimensions:   Length: 9.4" Width: 6.4" Height: 1.3"
Weight:   1.8 lbs.
Binding  Hardcover
Release Date   Dec 16, 2002
Publisher   Springer
ISBN  3540441336  
ISBN13  9783540441335  

Availability  146 units.
Availability accurate as of Oct 24, 2016 04:21.
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
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Group Theory
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Number Theory
4Books > Subjects > Science > General
5Books > Subjects > Science > Mathematics > General
6Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > General
7Books > Subjects > Science > Mathematics > Pure Mathematics > Group Theory
8Books > Subjects > Science > Mathematics > Pure Mathematics > Number Theory

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