Local fields / Jean-Pierre Serre ; translated from the French by Martin Jay Greenberg.
Material type:
TextSeries: Graduate texts in mathematics ; 67Publication details: New York : Springer-Verlag, c1979.Description: viii, 241 p. ; 24 cmISBN: - 0387904247
- 3540904247 (Berlin)
- QA247 .S4613 1979
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| 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 |
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| QA247 .E54 2005 Valued fields / | QA247 .M24 2014 Lecture notes on algebraic structure of lattice-ordered rings / | QA247 .S4613 1979 Local fields / | QA247 .S4613 1979 Local fields / | QA248 .K49 1988 Fuzzy Sets, Uncertainty, and Information / | QA251 .H66 1965 The Structure of Lie Groups | QA251.3 .B6813 1989 Commutative algebra : chapters 1-7 / |
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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