伽罗瓦上同调（英文版） [Galois Cohomology] pdf epub mobi txt 电子书下载 2025

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[法] 塞尔（Jean-Pierre Serr）著

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出版社：世界图书出版公司

ISBN：9787510070273

版次：1

商品编码：11419305

包装：平装

外文名称：Galois Cohomology

开本：24开

出版时间：2014-03-01

用纸：胶版纸

页数：210

正文语种：英文

具体描述

内容简介

　　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. I.H.E.S.， 1965. I am very grateful to him， and to I.H.E.S.， for having authorized this reproduction.

内页插图

Foreword
Chapter 1 Cohomology of profinite groups
1. Profinite groups
1.1 Definition
1.2 Subgroups
1.3 Indices
1.4 Pro-p-groups and Sylow p-subgroups
1.5 Pro-p-groups
2 Cohomology
2.1 Discrete G-modules
2.2 Cochains, cocycles, cohomology
2.3 Low dimensions
2.4 Punctoriality
2.5 Induced modules
2.6 Complements
3 Cohomological dimension
3.1 p-cohomological dimension
3.2 Strict cohomological dimension
3.3 Cohomological dimenmon of subgroups and extensions
3.4 Characterization of the profinite groups G such that cdp（G） < 1
3.5 Dualizing modules
4 Cohomology of pro-p-groups
4.1 Simple modules
4.2 Interpretation of Hl: generators
4.3 Interpretation of H2: relations
4.4 A theorem of Shafarevich
4.5 Poincare groups
……
ChapterⅡ Galois cohomology, the commutative case
chapter Ⅲ nonabelian gaiois cohomology