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Galois Cohomology

  • Book
  • © 1997

Overview

Authors:
  1. Jean-Pierre Serre

    1. Collège de France, Paris, France

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Part of the book series: Springer Monographs in Mathematics (SMM)

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Table of contents (3 chapters)

  1. Front Matter

    Pages I-X
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  2. Cohomology of profinite groups

    • Jean-Pierre Serre
    Pages 1-68

  3. Galois cohomology, the commutative case

    • Jean-Pierre Serre
    Pages 69-118

  4. Nonabelian Galois cohomology

    • Jean-Pierre Serre
    Pages 119-197

  5. Back Matter

    Pages 199-211
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Keywords

About this book

This volume is an English translation of "Cohomologie Galoisienne" . The original edition (Springer LN5, 1964) was based on the notes, written with the help of Michel Raynaud, of a course I gave at the College de France in 1962-1963. In the present edition there are numerous additions and one suppression: Verdier's text on the duality of profinite groups. The most important addition is the photographic reproduction of R. Steinberg's "Regular elements of semisimple algebraic groups", Publ. Math. LH.E.S., 1965. I am very grateful to him, and to LH.E.S., for having authorized this reproduction. Other additions include: - A proof of the Golod-Shafarevich inequality (Chap. I, App. 2). - The "resume de cours" of my 1991-1992 lectures at the College de France on Galois cohomology of k(T) (Chap. II, App.). - The "resume de cours" of my 1990-1991 lectures at the College de France on Galois cohomology of semisimple groups, and its relation with abelian cohomology, especially in dimension 3 (Chap. III, App. 2). The bibliography has been extended, open questions have been updated (as far as possible) and several exercises have been added. In order to facilitate references, the numbering of propositions, lemmas and theorems has been kept as in the original 1964 text. Jean-Pierre Serre Harvard, Fall 1996 Table of Contents Foreword ........................................................ V Chapter I. Cohomology of profinite groups §1. Profinite groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 . . . . . . . . . . . . . .

Authors and Affiliations

  • Collège de France, Paris, France

    Jean-Pierre Serre

Bibliographic Information

  • Book Title: Galois Cohomology

  • Authors: Jean-Pierre Serre

  • Series Title: Springer Monographs in Mathematics

  • DOI: https://doi.org/10.1007/978-3-642-59141-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • Hardcover ISBN: 978-3-540-42192-4Published: 23 October 2001

  • Softcover ISBN: 978-3-642-63866-4Published: 16 November 2012

  • eBook ISBN: 978-3-642-59141-9Published: 01 December 2013

  • Series ISSN: 1439-7382

  • Series E-ISSN: 2196-9922

  • Edition Number: 1

  • Number of Pages: X, 212

  • Additional Information: Originally published as a monograph

  • Topics: Algebra, Number Theory

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