The Structure of the Tame Kernels of Quadratic Number Fields (III) |
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| Authors: | Xiaobin Yin Hourong Qin Qunsheng Zhu |
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| Institution: | 1. Department of Mathematics , Nanjing University , China;2. Department of Mathematics , Anhui Normal University , China xbyinzh@gmail.com;5. xbyinzh@mail.ahnu.edu.cn;6. Department of Mathematics , Nanjing University , China;7. Department of Mathematics , Nanjing Normal University , China |
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| Abstract: | Let F be an imaginary quadratic number field and K 2 O F the tame kernel of F. In this article, we determine all possible values of r 4(K 2 O F ) for each type of imaginary quadratic number field F. In particular, for each type of imaginary quadratic number field we give the maximum possible value of r 4(K 2 O F ) and show that each integer between the lower and upper bounds occurs as a value of the 4-rank of K 2 O F for infinitely many imaginary quadratic number fields F. |
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| Keywords: | Imaginary quadratic number fields 4-rank Tame kernel |
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