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Beschreibung
From the reviews:

"This book surveys an elegant new subject which has developed out of the cohomological treatment of class field theory by E. Artin and J. Tate. The bulk of the early contributions were by Tate, and we are greatly indebted to the author for publishing them in his very lucid style. Many others have made impressive discoveries in the field science. [...] An Appendix by J.-L. Verier covers duality in profinite groups."
M. Greenberg in Mathematical Reviews, 1966

The current edition includes a survey (mostly without proofs) of the main results obtained in the 30 years following original publication. It also incorporates newer material, e.g. two "résumés de cours" at the Collège de France (1990 - 1991 and 1991 - 1992), and an updated bibliography.
From the reviews:

"This book surveys an elegant new subject which has developed out of the cohomological treatment of class field theory by E. Artin and J. Tate. The bulk of the early contributions were by Tate, and we are greatly indebted to the author for publishing them in his very lucid style. Many others have made impressive discoveries in the field science. [...] An Appendix by J.-L. Verier covers duality in profinite groups."
M. Greenberg in Mathematical Reviews, 1966

The current edition includes a survey (mostly without proofs) of the main results obtained in the 30 years following original publication. It also incorporates newer material, e.g. two "résumés de cours" at the Collège de France (1990 - 1991 and 1991 - 1992), and an updated bibliography.
Zusammenfassung
New, completely revised edition
Inhaltsverzeichnis
Cohomologie des Groupes Profinis.- Cohomologie Galoisienne - Cas Commutatif.- Cohomologie Galoisienne non Commutative.- Dualité dans la Cohomologie des Groupes Profinis.- Erratum to: Cohomologie Galoisienne - Cas Commutatif.- Erratum to: Cohomologie Galoisienne non Commutative.- Erratum to: Dualité dans la Cohomologie des Groupes Profinis.- Erratum.
Details
Erscheinungsjahr: 1994
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: ix
181 S.
ISBN-13: 9783540580027
9783540060840
ISBN-10: 3540580026
3540060847
Sprache: Französisch
Einband: Kartoniert / Broschiert
Autor: Serre, Jean-Pierre
Auflage: 5ème éd. 1994
Hersteller: Springer
Springer Spektrum
Springer-Verlag GmbH
Lecture Notes in Mathematics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 233 x 155 x 11 mm
Von/Mit: Jean-Pierre Serre
Erscheinungsdatum: 16.12.1994
Gewicht: 0,304 kg
Artikel-ID: 102160974