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On Tame Kernel and Class Group in Terms of Quadratic Forms

โœ Scribed by Qin Yue

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
181 KB
Volume
96
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

The paper is to investigate the structure of the tame kernel K 2 O F for certain quadratic number fields F ; which extends the scope of Conner and Hurrelbrink (J. Number Theory 88 (2001), 263-282). We determine the 4-rank and the 8-rank of the tame kernel, the Tate kernel, and the 2-part of the class group. Our characterizations are in terms of binary quadratic forms X

The results are very useful for numerical computations.

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