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On the p 2-Rank of Tame Kernels of Quadratic Fields |
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| Authors: | Haiyan Zhou |
| Institution: | 1. Department of Mathematics , Nanjing Normal University , Nanjing, China haiyanxiaodong@gmail.com |
| Abstract: | For any odd prime p, we prove some results connecting the p2-rank of the tame kernel of a quadratic field F with the p2-rank Cl(𝒪E1 ), where E1 is the maximal real subfield of F(ζp2 ). |
| Keywords: | Cyclotomic extensions Quadratic fields Tame kernel |