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.
|Keywords:||K_2, Number fields, Tame kernel.|
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|Publisher Web site:||http://dx.doi.org/10.1023/B:KTHE.0000028979.91416.00|
|Record Created:||24 Apr 2007|
|Last Modified:||08 Apr 2009 16:30|
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