Tame kernels for biquadratic number fields

被引：5

作者：

Yue, Q ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China

[2] Abdus Salam ICTP, Math Sect, Trieste, Italy

来源：

K-THEORY | 2005年 / 35卷 / 1-2期

关键词：

Tame kernel; class group; transfer map;

D O I：

10.1007/s10977-005-1509-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F = Q(root- d(1)) and E = Q(root- d(1),root d(2)), d(1) and d(2) squarefree integers, be an imaginary field and a biquadratic field, respectively. Let S be the set consisting of all infinite primes, all dyadic primes and all finite primes which ramify in E. Suppose the 4-rank of the class group of F is zero and the S-ideal class group of F has odd order, we give the forms of all elements of order <= 2 in K2OE and use the Hurrelbrink and Kolster's method [ Hurrelbrink, J. and Kolster, M.: J. reine angew. Math. 499 ( 1998), 145 - 188] to obtain the forms of all elements of order 4 in K2OE.

引用

页码：69 / 91

页数：23

共 17 条

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