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Some Calculations On The Tame Kernel Of Q ((- 39) 1/2 )

Posted on:2017-03-21Degree:MasterType:Thesis
Country:ChinaCandidate:J L WuFull Text:PDF
GTID:2270330503486120Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper, the calculation of the tame kernel in the imaginary quadratic field is mainly studied.For the imaginary quadratic field Q((-39)1/2),the structure of K2OF is given by H.Garland and K.Belabas, but the calculation is not given.In this regard,used Tate’s ideas and conclusions, combined with Browkin’s theory, on the basis of the structure of the study, the use of computational software GP/PARI,the structure of the tame core in the logarithmic domain is given in detail from intertial prime and noninert prime, K2OF(?)K2S3 (F) is proves,and that the K2S3 (F) is generated in the form of all symbols in the form of {a,b} (a, b ∈{-1,2,3,2+ω,1-ω}) (ω=(((-39)1/2)-1)/2).
Keywords/Search Tags:imaginary quadratic field, Milnor K-group, tame kernel
PDF Full Text Request
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