Overview

This is an updated English translation of ""Cohomologie Galoisienne"", published more than 30 years ago as one of the very first Lecture Notes in Mathematics (LNM 5). It includes a reproduction of an influential paper of R. Steinberg, together with some new material and an expanded bibliography.

Full Product Details

Author:   Jean-Pierre Serre ,  P. Ion
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1st ed. 1997. Corr. 2nd printing 2001
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   1.090kg
ISBN:  

9783540421924

ISBN 10:   3540421920
Pages:   212
Publication Date:   23 October 2001
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I. Cohomology of profinite groups.- §1. Profinite groups.- §2. Cohomology.- §3. Cohomological dimension.- §4. Cohomology of pro-p-groups.- §5. Nonabelian cohomology.- II. Galois cohomology, the commutative case.- §1. Generalities.- §2. Criteria for cohomological dimension.- §3. Fields of dimension ?1.- §4. Transition theorems.- §5. p-adic fields.- §6. Algebraic number fields.- III. Nonabelian Galois cohomology.- §1. Forms.- §2. Fields of dimension ? 1.- §3. Fields of dimension ? 2.- §4. Finiteness theorems.

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