TY  - BOOK
AU  - Jean-Pierre Serre.
AU  - Jean-Pierre Serre.
TI  - Local fields
T2  - Graduate texts in mathematics, 67
SN  - 9780387904245
U1  - 512.74 SER 
PY  - 1979///
CY  - New York 
PB  - : Springer-Verlag
KW  - Mathematics
KW  - Homology theory
KW  - Algebra
N1  - pt. I. Local fields (basic facts). Discrete valuation rings and Dedekind domains --
Completion --
pt. II. Ramification. Discriminant and different --
Ramification groups --
The norm --
Artin representation --
pt. III. Group cohomology. Basic facts --
Cohomology of finite groups --
Theorems of Tate and Nakayama --
Galois cohomology --
Class formations --
pt. IV. Local class field theory. Brauer groups of a local field ---
Local class field theory --
Local symbols and existence theorem --
Ramification
N2  - The goal of this book is to present local class field theory from the cohomo- logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of "local" (i.e., complete for a discrete valuation) fields with finite residue field.
ER  -