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Table of Contents

I. Cohomology of profinite groups.- §1. Profinite groups.- §2. Cohomology.- §3. Cohomological dimension.- §4. Cohomology of pro-p-groups.- §5. Nonabelian cohomology.- II. Galois cohomology, the commutative case.- §1. Generalities.- §2. Criteria for cohomological dimension.- §3. Fields of dimension ?1.- §4. Transition theorems.- §5. p-adic fields.- §6. Algebraic number fields.- III. Nonabelian Galois cohomology.- §1. Forms.- §2. Fields of dimension ? 1.- §3. Fields of dimension ? 2.- §4. Finiteness theorems.