Abstract
An analogue of Hilbert's Theorem 90 is proved for the Milnor groups of the fields . Specifically, let be a quadratic extension, and let be the generator of the Galois group. Then the sequence is exact. As a corollary one can prove bijectivity of the norm residue homomorphism of degree three: Finally, the 2-primary torsion in is described: if the field contains a primitive th root of unity , then the -torsion subgroup of is . Bibliography: 17 titles.
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