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

• Autores: Sun Min Park, Hee-Sun Yang, Soun-Hi Kwon
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 359, Nº 10, 2007, págs. 5057-5089
• Idioma: inglés
• DOI: 10.1090/s0002-9947-07-04219-5
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• Resumen

  • 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.