The p-Rank of Tame Kernels of Pure Quintic Fields  

作　　者：Yuanyuan Li Haiyan Zhou Fei Deng Xia Wu 

机构地区：[1]Department of Applied Mathematics, Nanjing Forestry University Nanjing 210037, China [2]Institute of Mathematics, School of Mathematical Sciences Nanjing Normal University, Nanjing 210023, China [3]School of Mathematics, Southeast University, Nanjing 210096, China

出　　处：《Algebra Colloquium》2018年第2期277-284,共8页代数集刊（英文版）

基　　金：This paper was partially supported by National Natural Science Foundation of China under Grant 11301071 and 11471162.

摘　　要：Let F be a pure quintic field. In this paper, we present some results for the p-rank of K2OF, where p is an odd prime number. In particular, the 5-rank of K20F is studied by the reflection theorem. Some explicit results on the 5-rank of K20F are given in some special cases.

关 键 词：p-rank of tame kernels pure quintic fields ideal class groups 

分 类 号：O1[理学—数学]