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1. Introduction. Let F be a number field and the ring of its integers. Many results are known about the group $K₂O_F$, the tame kernel of F. In particular, many authors have investigated the 2-Sylow subgroup of $K₂O_F$. As compared with real quadratic fields, the 2-Sylow subgroups of for imaginary quadratic fields F are more difficult to deal with. The objective of this paper is to prove...
1. Introduction. Let F be a number field, and let be the ring of its integers. Several formulas for the 4-rank of are known (see [7], [5], etc.). If √{-1) ∉ F, then such formulas are related to S-ideal class groups of F and F(√(-1)), and the numbers of dyadic places in F and F(√(-1)), where S is the set of infinite dyadic places of F. In [11], the author proposes a method which can be applied...
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