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Generators and Relations for K_2 O_F

Belabas, K.; Gangl, H.


K. Belabas


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.


Belabas, K., & Gangl, H. (2004). Generators and Relations for K_2 O_F. K-Theory, 31(3), 195 - 231.

Journal Article Type Article
Publication Date 2004-03
Deposit Date Apr 24, 2007
Journal K-Theory
Print ISSN 0920-3036
Electronic ISSN 1573-0514
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 31
Issue 3
Pages 195 - 231
Keywords K_2, Number fields, Tame kernel.