Local Fields / Edition 1

Local Fields / Edition 1

by Marvin J. Greenberg, Jean-Pierre Serre
     
 

ISBN-10: 0387904247

ISBN-13: 9780387904245

Pub. Date: 01/19/1980

Publisher: Springer New York

Product Details

ISBN-13:
9780387904245
Publisher:
Springer New York
Publication date:
01/19/1980
Series:
Graduate Texts in Mathematics Series, #67
Edition description:
1st ed. 1979. Corr. 2nd printing 1995
Pages:
245
Sales rank:
1,314,714
Product dimensions:
6.40(w) x 9.30(h) x 0.90(d)

Table of Contents

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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