The p-Rank of Tame Kernels of Pure Quintic Fields

被引：1

作者：

Li, Yuanyuan ^{[1
]}

Zhou, Haiyan ^{[2
]}

Deng, Fei ^{[2
]}

Wu, Xia ^{[3
]}

机构：

[1] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Jiangsu, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Jiangsu, Peoples R China

[3] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2018年 / 25卷 / 02期

基金：

中国国家自然科学基金;

关键词：

p-rank of tame kernels; pure quintic fields; ideal class groups; CUBIC CYCLIC FIELDS; NUMBER-FIELDS; QUADRATIC FIELDS; 2-SYLOW SUBGROUPS; K2OF;

D O I：

10.1142/S1005386718000196

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 K2OF is studied by the reflection theorem. Some explicit results on the 5-rank of K2OF are given in some special cases.

引用

页码：277 / 284

页数：8

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