The class number one problem for the normal CM-fields of degree 32

Park, Sun-Mi; Yang, Hee-Sun; Kwon, Soun-Hi

doi:10.1090/S0002-9947-07-04219-5

The class number one problem for the normal CM-fields of degree 32
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by Sun-Mi Park, Hee-Sun Yang and Soun-Hi Kwon PDF

Trans. Amer. Math. Soc. 359 (2007), 5057-5089 Request permission

Abstract:

We prove that there are exactly six normal CM-fields of degree 32 with class number one. Five of them are composita of two normal CM-fields of degree 16 with the same maximal totally real octic field.

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