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arxiv: math/0601663 · v1 · submitted 2006-01-27 · 🧮 math.NT · math.KT

Hilbert 90 for Galois cohomology

Nicole Lemire , Jan Minac , Andrew Schultz , John Swallow This is my paper
classification 🧮 math.NT math.KT
keywords galoishilbertcohomologyassumingbloch-katocohomologicalconditionsconjecture
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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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