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

By Ku-young Chang and Soun-hi Kwon


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)withθ 3 − θ 2 − 5θ − 1=0. 1

Year: 2011
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