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MR1616805 (99c:11138) 11R29 (11R21 11R42 11Y40) Louboutin, Stéphane; Okazaki, Ryotaro The class number one problem for some non-abelian normal CM-fields of $2$-power degrees. Proc. London Math. Soc. (3) 76 (1998), no. 3, 523--548.

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