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The Kernel of and the 4-Rank of K2(O)

Published online by Cambridge University Press:  20 November 2018

Ruth I. Berger
Ruth I. Berger*
Affiliation:
Department of Mathematical Sciences Memphis State University Memphis, Tennessee 38152 U. S. A.
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Abstract

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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

Keywords

11R19

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 3 , 01 September 1992 , pp. 295 - 302
Copyright
Copyright © Canadian Mathematical Society 1992

References

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