Tame kernels of cubic and sextic fields

JOURNAL OF NUMBER THEORY

卷:190

Article

Zhou, Haiyan¹  Liang, Zhibin² 

[1] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 810023, Jiangsu, Peoples R China

[2] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

关键词: Cubic fields;    Sextic fields;    Class groups;    Tame kernels;   

DOI  :  10.1016/j.jnt.2018.01.020

来源: Elsevier

【 摘 要 】

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(zeta(p)) (resp. F(zeta(p)). In the case of p = 3, we obtain estimates for the p-ranks of tame kernels K2OK (resp. K2OF). (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free