Tame Kernels of Pure Cubic Fields  

作　　者：Xiao Yun CHENG 

机构地区：[1]School of Science,Nanjing University of Aeronautics and Astronautics

出　　处：《Acta Mathematica Sinica,English Series》2012年第4期771-780,共10页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant Nos.10971091 and 10871088);Specialized Research Fund for the Doctoral Program of Higher Education(Grant Nos.200802840003 and 200802841042)

摘　　要：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.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.

关 键 词：Tame kernel pure cubic fields class group 3-rank 

分 类 号：O153.3[理学—数学]