The class number one problem for some non-abelian normal CM-fields of degree 48期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

The class number one problem for some non-abelian normal CM-fields of degree 48

Authors:	Ku-Young Chang Soun-Hi Kwon

Institution:	Information Security Basic Research Team, ETRI, 161 Kajong-dong, Yusong-Gu, 305-350, Taejon, Korea ; Department of Mathematics Education, Korea University, 136-701, Seoul, Korea

Abstract:	We prove that there is precisely one normal CM-field of degree 48 with class number one which has a normal CM-subfield of degree 16: the narrow Hilbert class field of $\mathbb{Q} (\sqrt{5}, \sqrt{101}, \theta )$ with $\theta^3 - \theta^2 -5 \theta -1=0$ .

Keywords:

	点击此处可从《Mathematics of Computation》浏览原始摘要信息
	点击此处可从《Mathematics of Computation》下载免费的PDF全文