The Kernel of and the 4-Rank of K2(O)
Canadian mathematical bulletin, Tome 35 (1992) no. 3, pp. 295-302

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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
DOI : 10.4153/CMB-1992-041-4
Mots-clés : 11R19
Berger, Ruth I. The Kernel of and the 4-Rank of K2(O). Canadian mathematical bulletin, Tome 35 (1992) no. 3, pp. 295-302. doi: 10.4153/CMB-1992-041-4
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     title = {The {Kernel} of and the {4-Rank} of {K2(O)}},
     journal = {Canadian mathematical bulletin},
     pages = {295--302},
     year = {1992},
     volume = {35},
     number = {3},
     doi = {10.4153/CMB-1992-041-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-041-4/}
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