Let F and OF be a number field and its ring of integers respectively. Let K2 denote Milnor K-functor. In the paper we describe the structure of the group K2OF/R2F, where R2F is the Hilbert kernel and F is multiquadratic extension of the rational number field. Moreover, we give some characterization of fields with trivial group K2OF/R2F. At the end we make some remarks on p-rank of K2OF and divisibility of the ideal class group by 2.
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Vol. 3 (1990)
Published: 1990-01-30