Local fields / Jean-Pierre Serre ; translated from the French by Martin Jay Greenberg.

By:

Serre, Jean Pierre, 1926-

Material type: Text

TextSeries: Graduate texts in mathematics ; 67Publication details: New York : Springer-Verlag, c1979.Description: viii, 241 p. ; 24 cmISBN:

0387904247
3540904247 (Berlin)

Subject(s):

LOC classification:

QA247 .S4613 1979

Summary: Contents: Basic results on discrete valuation rings, Dedekind domains, and completions.-Ramification theory: discriminant, different, ramification subgroups, Hasse-Arf theorem, Artin representations.-Group cohomology, with emphasis on arithmetical applications: theorems of Tate and Nakayama, Galois cohomology, class formations.-Local class field theory, presented from the cohomological point of view. The main result is the determination of the topological Galois group of the maximal abelian extension.

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Holdings
Item type	Current library	Call number	Copy number	Status	Barcode
Books	Library First Floor	QA247 .S4613 1979 (Browse shelf(Opens below))	1	Available	11651
Books	Library First Floor	QA247 .S4613 1979 (Browse shelf(Opens below))	2	Available	11681

Includes index.

Translation of Corps Locaux.

Bibliography: p. 232-237.

Contents: Basic results on discrete valuation rings, Dedekind domains, and completions.-Ramification theory: discriminant, different, ramification subgroups, Hasse-Arf theorem, Artin representations.-Group cohomology, with emphasis on arithmetical applications: theorems of Tate and Nakayama, Galois cohomology, class formations.-Local class field theory, presented from the cohomological point of view. The main result is the determination of the topological Galois group of the maximal abelian extension.

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Local fields / Jean-Pierre Serre ; translated from the French by Martin Jay Greenberg.

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