Tame kernels of pure cubic fields |
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| Authors: | Xiao Yun Cheng |
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| Institution: | (1) School of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, P. R. China |
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| Abstract: | In this paper, we study the p-rank of the tame kernels of pure cubic fields. In particular, we prove that for a fixed positive integer m, there exist infinitely many pure cubic fields whose 3-rank of the tame kernel equal to m. As an application, we determine the 3-rank of their tame kernels for some special pure cubic fields. |
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| Keywords: | Tame kernel pure cubic fields class group 3-rank |
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