Class Field Theory - From Theory to Practice (Hardcover, 1st ed 2003. Corr. 2nd printing 2005)

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, idèles, 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 (/cal T) p, of abelian p-ramification, which is related to important Galois cohomology properties and p-adic conjectures. This book, intermediary between the classical literature published in the sixties and the recent computational literature, gives much material in an elementary way, and is suitable for students, researchers, and all who are fascinated by this theory.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Springer Monographs in Mathematics
Release date:	February 2005
First published:	February 2005
Translators:	H. Cohen
Authors:	Georges Gras
Dimensions:	235 x 155 x 37mm (L x W x T)
Format:	Hardcover
Pages:	491
Edition:	1st ed 2003. Corr. 2nd printing 2005
ISBN-13:	978-3-540-44133-5
Categories:	Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	3-540-44133-6
Barcode:	9783540441335

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