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Galois cohomology伽罗瓦上同调

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Galois cohomology伽罗瓦上同调

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作 者:Jean-PierreSerre 著

出 版 社:湖南文艺出版社

出版时间:2001-11-1

I S B N:9783540421924

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418.50元
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502.20元

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内容简介

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.

作者简介

目录

Foreword
Chapter I Cohomology of profinite groups
 1 Profinite groups
 2 Cohomology
 3 Cohomological dimension
 4 Cohomology of pro-p-groups
 5 Nonabelian cohomology
 Bibliography remarks for Chapter I
 Appendix 1 J. Tate - Some duality theorems
 Appendix 2 The Golod-Shafarevich inequality
Chapter II Galois cohomology, the commutative case
 1 Generalities
 2 Criteria for cohomological dimension
 3 Fields of dimension [less than or equal to]1
 4 Transition theorems
 5 p-adic fields
 6 Algebraic number fields
 Bibliographic remarks for Chapter II
 Appendix Galois cohomology of purely transcendental extensions
Chapter III Nonabelian Galois cohomology
 1 Forms
 2 Fields of dimension [less than or equal to]1
 3 Fields of dimension [less than or equal to]2
 4 Finiteness theorems
 Bibliographic remarks for Chapter III
Appendix 1 Regular elements of semisimple groups
Appendix 2 Complements on Galois cohomology
Bibliography
Index

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