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| Foreword Chapter I Cohomology of profinite groups 1 Profinite groups 2 Cohomology 3 Cohomological dimension 4 Cohomology of pro-p-groups 5 Nonabelian cohomology Bibliography remarks for Chapter I Appendix 1 J. Tate - Some duality theorems Appendix 2 The Golod-Shafarevich inequality Chapter II Galois cohomology, the commutative case 1 Generalities 2 Criteria for cohomological dimension 3 Fields of dimension [less than or equal to]1 4 Transition theorems 5 p-adic fields 6 Algebraic number fields Bibliographic remarks for Chapter II Appendix Galois cohomology of purely transcendental extensions Chapter III Nonabelian Galois cohomology 1 Forms 2 Fields of dimension [less than or equal to]1 3 Fields of dimension [less than or equal to]2 4 Finiteness theorems Bibliographic remarks for Chapter III Appendix 1 Regular elements of semisimple groups Appendix 2 Complements on Galois cohomology Bibliography Index |
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