The Cohomology Groups of Tori in Finite Galois Extensions of Number Fields
The Cohomology Groups of Tori in Finite Galois Extensions of Number Fields
Class field theory determines in a well-known way the higher dimensional cohomology groups of the idéies and idèle classes in finite Galois extensions of number fields. At the Amsterdam Congress in 1954 I announced [7] the corresponding result for the multiplicative group of the number field itself, but the proof …