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.
机构:
Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 810023, Jiangsu, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 810023, Jiangsu, Peoples R China
Zhou, Haiyan
Liang, Zhibin
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机构:
Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R ChinaNanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 810023, Jiangsu, Peoples R China