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

Authors:
Ku-Young Chang;Soun-Hi Kwon
Affiliations:
Information Security Basic Research Team, ETRI, 161 Kajong-Dong, Yusong-Gu, Taejon, Korea;Department of Mathematics Education, Korea University, Seoul, Korea
Venue:
Mathematics of Computation
Year:
2003

Citing 3
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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 Q(√5, √101, θ) with θ3 - θ2 -5θ - 1 = 0.