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Local Fields

Edition: 
2
Publisher: 
Springer Verlag
Number of Pages: 
260
Price: 
69.95
ISBN: 
0387904247
Date Received: 
Wednesday, August 16, 2006
Reviewable: 
Yes
Include In BLL Rating: 
Yes
Jean-Pierre Serre
Series: 
Graduate Texts in Mathematics 67
Publication Date: 
1980
Format: 
Hardcover
Category: 
Monograph
BLL
07/16/2009
BLL Rating: 

 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.

Publish Book: 
Modify Date: 
Monday, October 4, 2010

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