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Generators and relations for K_2 O_F.

Belabas, K. and Gangl, H. (2004) 'Generators and relations for K_2 O_F.', K-theory., 31 (3). 195 - 231.


Tate's algorithm for computing K_2 O_F for rings of integers in a number field has been adapted for the computer and gives explicit generators for the group and sharp bounds on their order---the latter, together with some structural results on the p-primary part of K_2 O_F due to Tate and Keune, gives a proof of its structure for many number fields of small discriminants, confirming earlier conjectural results. For the first time, tame kernels of non-Galois fields are obtained.

Item Type:Article
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Keywords:K_2, Number fields, Tame kernel.
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Record Created:24 Apr 2007
Last Modified:08 Apr 2009 16:30

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