Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493510 | Journal of Algebra | 2005 | 25 Pages |
Abstract
In this paper, we always assume that F=Q(d) and E=Q(âd), d a squarefree integer, are quadratic number fields with d=u2â2w2, u,wâN. This paper is mainly to give the formula: 8-rank of K2OF=8-rank of C(E)+a(F)+Ï, where C(E) is the narrow class group of E, a(F)â{â1,0,1} and Ïâ{0,1}; moreover |8-rank of K2OF-8-rank of C(E)|⩽1. This paper is also to show the relations among {â1,u+d}âK2OF4, the dyadic ideal class of C(E) and the dyadic ideal class of C(Eâ²) for Eâ²=Q(â2d).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Qin Yue,