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9780387904245

Local Fields
Local Fields
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  • ISBN-13: 9780387904245
  • ISBN: 0387904247
  • Publisher: Springer

AUTHOR

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.Serre, Jean Pierre is the author of 'Local Fields' with ISBN 9780387904245 and ISBN 0387904247.

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