Galois cohomology /
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English French |
| Published: |
Berlin ; New York :
Springer,
2002
|
| Edition: | Corr. 2nd print |
| Series: | Springer monographs in mathematics,
Springer monographs in mathematics Springer monographs in mathematics |
| Subjects: |
Table of Contents:
- Ch. 1. Cohomology of profinite groups. Profinite groups
- Cohomology
- Cohomological dimension
- Cohomology of pro-p-groups
- Nonabelian cohomology
- Appendix 1. J. Tate
- Some duality theorems
- Appendix 2. The Golod-Shafarevich inequality
- Ch. 2.
- Galois cohomology, the commutative case. Generalities
- Criteria for cohomological dimension
- Fields of dimension {600}1
- Transition theorems
- p-adic fields
- Algebraic number fields
- Appendix. Galois cohomology of purely transcendental extensions
- Ch. 3. Nonabelian Galois cohomology. Forms
- Fields of dimension {600}1
- Fields of dimension {600}2
- Finiteness theorems
- Appendix 1. Regular elements of semisimple groups
- Appendix 2. Complements on Galois cohomology