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100   $a20190708d2016      fg              
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt
182   $cc
183   $acr
200 10$aProfinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 /$fStephen S. Shatz
210  1$aPrinceton, NJ : $cPrinceton University Press, $d[2016]
210  4$dİ1972
215   $a1 online resource (265 pages)
225 0 $aAnnals of Mathematics Studies ;$v249
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a0-691-08017-8 
320   $aIncludes bibliographical references.
327   $tFrontmatter -- $tPREFACE -- $tCONTENTS -- $tCHAPTER I. PROFINITE GROUPS -- $tCHAPTER II. COHOMOLOGY OF PROFINITE GROUPS -- $tCHAPTER III. COHOMOLOGICAL DIMENSION -- $tCHAPTER IV. GALOIS COHOMOLOGY AND FIELD THEORY -- $tCHAPTER V. LOCAL CLASS FIELD THEORY -- $tCHAPTER VI. DUALITY -- $tBIBLIOGRAPHY
330   $aIn this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes with a treatment of duality. His objective is to present effectively that body of material upon which all modern research in Diophantine geometry and higher arithmetic is based, and to do so in a manner that emphasizes the many interesting lines of inquiry leading from these foundations.
410  0$aAnnals of mathematics studies ;$vNumber 67.
606   $aHomology theory
606   $aFinite groups
606   $aAlgebraic number theory
610   $aAbelian group.
610   $aAlexander Grothendieck.
610   $aAlgebraic closure.
610   $aAlgebraic extension.
610   $aAlgebraic geometry.
610   $aAlgebraic number field.
610   $aBrauer group.
610   $aCategory of abelian groups.
610   $aCategory of sets.
610   $aCharacterization (mathematics).
610   $aClass field theory.
610   $aCohomological dimension.
610   $aCohomology.
610   $aCokernel.
610   $aCommutative diagram.
610   $aComposition series.
610   $aComputation.
610   $aConnected component (graph theory).
610   $aCoset.
610   $aCup product.
610   $aDedekind domain.
610   $aDegeneracy (mathematics).
610   $aDiagram (category theory).
610   $aDimension (vector space).
610   $aDiophantine geometry.
610   $aDiscrete group.
610   $aEquivalence of categories.
610   $aExact sequence.
610   $aExistential quantification.
610   $aExplicit formula.
610   $aExponential function.
610   $aFamily of sets.
610   $aField extension.
610   $aFinite group.
610   $aFundamental class.
610   $aG-module.
610   $aGalois cohomology.
610   $aGalois extension.
610   $aGalois group.
610   $aGalois module.
610   $aGalois theory.
610   $aGeneral topology.
610   $aGeometry.
610   $aGrothendieck topology.
610   $aGroup cohomology.
610   $aGroup extension.
610   $aGroup scheme.
610   $aGroup theory.
610   $aHilbert symbol.
610   $aHopf algebra.
610   $aIdeal (ring theory).
610   $aInequality (mathematics).
610   $aInjective sheaf.
610   $aInner automorphism.
610   $aInverse limit.
610   $aKummer theory.
610   $aLie algebra.
610   $aLinear independence.
610   $aLocal field.
610   $aMathematical induction.
610   $aMathematician.
610   $aMathematics.
610   $aModule (mathematics).
610   $aMorphism.
610   $aNatural topology.
610   $aNeighbourhood (mathematics).
610   $aNormal extension.
610   $aNormal subgroup.
610   $aNumber theory.
610   $aP-adic number.
610   $aP-group.
610   $aPolynomial.
610   $aPontryagin duality.
610   $aPower series.
610   $aPrime number.
610   $aPrincipal ideal.
610   $aProfinite group.
610   $aQuadratic reciprocity.
610   $aQuotient group.
610   $aRing of integers.
610   $aSheaf (mathematics).
610   $aSpecial case.
610   $aSubcategory.
610   $aSubgroup.
610   $aSupernatural number.
610   $aSylow theorems.
610   $aTangent space.
610   $aTheorem.
610   $aTopological group.
610   $aTopological property.
610   $aTopological ring.
610   $aTopological space.
610   $aTopology.
610   $aTorsion group.
610   $aTorsion subgroup.
610   $aTranscendence degree.
610   $aTriviality (mathematics).
610   $aUnique factorization domain.
610   $aVariable (mathematics).
610   $aVector space.
615  0$aHomology theory.
615  0$aFinite groups.
615  0$aAlgebraic number theory.
676   $a512/.2
700   $aShatz$b Stephen S., $0536558
801  0$bDE-B1597
801  1$bDE-B1597
906   $aBOOK
912   $a9910154751103321
996   $aProfinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67$92785669
997   $aUNINA