- 原书名：Galois Cohomology(Springer Monographs in Mathematics)
- 原出版社： Springer
Chapter I. C, ohomology of proflnite groups
1. Profinite groups
1.4 Pro-p-groups and Sylow p-subgroups
2.1 Discrete G-modules
2.2 Cochains, cocycles, cohomology
2.3 Low dimensions
2.5 Induced modules
3. Cohomological dimension
3.1 p-cohomological dimension
3.2 Strict cohomological dimension
3.3 Cohomological dimension of subgroups and extensions
Other additions include:
A proof of the Golod-Shafarevich inequality (Chap. I, App. 2).
The "resume de cours' of my 1991-1992 lectures at the College de Prance on Gaiois cohomology of k(T) (Chap. II, App.).
The "resume de cours' of my 1990-1991 lectures at the College de France on Galois cohomology of semisimple groups, and its relation with abelian cohomology, especially in dimension 3 (Chap. III, App. 2).
The bibliography has been extended, open questions have been updated (as far as possible) and several exercises have been added.
In order to facilitate references, the numbering of propositions, lemmas and theorems has been kept as in the original 1964 text.
Harvard, Fall 1996