Nicole Lemire, Ján Mináč, Andrew Schultz, John Swallow
Abstract
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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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.
Key concepts: Mathematics, Galois cohomology, Galois group, Galois extension, Cohomological dimension, Galois module, Pure mathematics, Cohomology