Hilbert 90 for Galois cohomology

Mathematics – Number Theory

Scientific paper

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11 pages

Scientific paper

Assuming the Bloch-Kato Conjecture, we determine precise conditions under
which Hilbert 90 is valid for Milnor k-theory and Galois cohomology. In
particular, Hilbert 90 holds for degree n when the cohomological dimension of
the Galois group of the maximal p-extension of F is at most n.

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