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:
Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
Qingdao Univ, Inst Appl Math Shandong, Qingdao 266071, Peoples R ChinaQingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
Long, Zhang
Kejian, Xu
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Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
Qingdao Univ, Inst Appl Math Shandong, Qingdao 266071, Peoples R ChinaQingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
Kejian, Xu
Zhaopeng, Dai
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Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
Qingdao Univ, Inst Appl Math Shandong, Qingdao 266071, Peoples R ChinaQingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
Zhaopeng, Dai
Chaochao, Sun
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机构:
Linyi Univ, Sch Sci, Linyi 276005, Shandong, Peoples R ChinaQingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
机构:
Anhui Normal Univ, Dept Math, Wuhu City 241000, Anhui, Peoples R China
Nanjing Univ, Dept Math, Nanjing, Peoples R ChinaAnhui Normal Univ, Dept Math, Wuhu City 241000, Anhui, Peoples R China
Yin, Xiaobin
Qin, Hourong
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Nanjing Univ, Dept Math, Nanjing, Peoples R ChinaAnhui Normal Univ, Dept Math, Wuhu City 241000, Anhui, Peoples R China
Qin, Hourong
Zhu, Qunsheng
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Nanjing Univ, Dept Math, Nanjing, Peoples R China
Nanjing Normal Univ, Dept Math, Nanjing, Peoples R ChinaAnhui Normal Univ, Dept Math, Wuhu City 241000, Anhui, Peoples R China