Hilbert 90 for Galois cohomology
Number Theory
2010-02-10 v1 K-Theory and Homology
Abstract
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.
Cite
@article{arxiv.math/0601663,
title = {Hilbert 90 for Galois cohomology},
author = {Nicole Lemire and Jan Minac and Andrew Schultz and John Swallow},
journal= {arXiv preprint arXiv:math/0601663},
year = {2010}
}
Comments
11 pages