TY - BOOK AU - Serre,Jean-Pierre TI - Local fields SN - 0387904247 U1 - 512.74 PY - 1995/// CY - New York PB - Springer KW - Local fields (Algebra) KW - Homology theory N1 - Contains bibliography; One Local Fields (Basic Facts).- I Discrete Valuation Rings and Dedekind Domains.- II Completion.- Two Ramification.- III Discriminant and Different.- IV Ramification Groups.- V The Norm.- VI Artin Representation.- Three Group Cohomology.- VII Basic Facts.- VIII Cohomology of Finite Groups.- IX Theorems of Tate and Nakayama.- X Galois Cohomology.- XI Class Formations.- Four Local Class Field Theory.- XII Brauer Group of a Local Field.- XIII Local Class Field Theory.- XIV Local Symbols and Existence Theorem.- XV Ramification.- ER -