2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74169Let n be an odd number and F an imaginary quadratic field with odd discriminant. We show that there exists infinitely many cubic fields K such that the class number of K is divisible by n and the Galois closure of K contains F.10 pagesNumber Theory11R16; 11R29On the Divisibility of Class Numbers of Cubic Number Fields with Discriminants in a Prescribed Rational Quadratic Classtext