Local Fields
Author:Serre, Jean Pierre, Greenberg, M. J
ISBN-13:
9780387904245
ISBN:
0387904247
Publisher: Springer
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. [read more]
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