The 3-Sylow subgroup of the tame kernel of real number fields

被引：10

作者：

Qin, Hourong ^{[1
]}

Zhou, Haiyan ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2007年 / 209卷 / 01期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金; 美国国家科学基金会;

关键词：

D O I：

10.1016/j.jpaa.2006.05.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let F be a cubic cyclic field with exactly one ramified prime p, p > 7, or F a real quadratic field with d not equivalent to 6 (mod 9). In this paper, we study the 3-primary part of K2OF. If 3 does not divide the class number of F, we get some results about the 9-rank of K2OF. In particular, in the case of a cubic cyclic field F with only one ramified prime p > 7, we prove that four conclusions concerning the 3-primary part of K2OF, obtained by J. Browkin by numerical computations for primes p, 7 <= p <= 5000, are true in general. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：245 / 253

页数：9