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Local Fields

Jean-Pierre Serre
Publisher: 
Springer Verlag
Publication Date: 
1980
Number of Pages: 
260
Format: 
Hardcover
Edition: 
2
Series: 
Graduate Texts in Mathematics 67
Price: 
69.95
ISBN: 
0387904247
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

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 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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