Mathematics – Number Theory
Scientific paper
2006-01-27
Comm. Algebra 38 (2010), 361--372
Mathematics
Number Theory
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.
Lemire Nicole
Minac Jan
Schultz Andrew
Swallow John
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