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and the 4-Rank of K2(O)
An upper bound is given for the order of the kernel of the map on Sideal class groups that is induced by 
For some special types of number fields F the connection between the size of the above kernel for 
and the units and norms in 
are examined. Let K2(O) denote the Milnor K-group of the ring of integers of a number field. In some cases a formula by Conner, Hurrelbrink and Kolster is extended to show how closely the 4-rank of 
is related to the 4-rank of the S-ideal class group of 
