伽羅瓦上同調（英文版） [Galois Cohomology] pdf epub mobi txt 電子書下載 2025

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[法] 塞爾（Jean-Pierre Serr）著

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齣版社：世界圖書齣版公司

ISBN：9787510070273

版次：1

商品編碼：11419305

包裝：平裝

外文名稱：Galois Cohomology

開本：24開

齣版時間：2014-03-01

用紙：膠版紙

頁數：210

正文語種：英文

具體描述

內容簡介

　　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.

內頁插圖

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