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
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
@article{10_4153_CMB_1992_041_4,
author = {Berger, Ruth I.},
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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