1 results
The Kernel of
and the 4-Rank of K2(O)
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- Journal:
- Canadian Mathematical Bulletin / Volume 35 / Issue 3 / 01 September 1992
- Published online by Cambridge University Press:
- 20 November 2018, pp. 295-302
- Print publication:
- 01 September 1992
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- Article
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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 
and the 4-Rank of 
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 
is related to the 4-rank of the 
