000			01497nam a22002297a 4500
005			20180727161036.0
008			180727b xxu||||| |||| 00| 0 eng d
020			_a9780387904245
028			_aVariety Books Publishers _b2/22 Ansari Road, New Delhi-110002.
082			_a512.74 SER
100			_aJean-Pierre Serre.
245			_aLocal fields _c/ Jean-Pierre Serre.
260			_aNew York _b: Springer-Verlag _c, ©1979.
300			_a241 pages _c; 24 cm.
490			_aGraduate texts in mathematics, 67.
505			_apt. 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.
520			_aThe 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.
650			_aMathematics
655			_bHomology theory. _bAlgebra
700			_aJean-Pierre Serre.
942			_cBOOK
999			_c50011 _d50011