Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896904 | Journal of Number Theory | 2018 | 14 Pages |
Abstract
Let K be a non-Galois cubic field, and let F denote the normal closure of K/Q or a sextic cyclic field. In this paper, we establish some relations between the p-rank of K2OK (resp. K2OF) and the p-rank of the ideal class groups of some subfields of K(ζp) (resp. F(ζp)). In the case of p=3, we obtain estimates for the p-ranks of tame kernels K2OK (resp. K2OF).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Haiyan Zhou, Zhibin Liang,