《Galois 上同調》是2014年3月1日世界圖書出版公司出版的著作，作者是[法] 塞爾（Jean-Pierre Serr） 。
基本介紹
- 中文名：《Galois 上同調》
- 作者：[法] 塞爾（Jean-Pierre Serr
- 出版時間：2014年03月01日
- 出版社：世界圖書出版公司
- ISBN：9787510070273
- 定價：49 元
- 裝幀：平裝
內容簡介,目錄,
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.
目錄
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）
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
