On the Divisibility of Class Numbers of Cubic Number Fields with Discriminants in a Prescribed Rational Quadratic Class

Details On the Divisibility of Class Numbers of Cubic Number Fields with Discriminants in a Prescribed Rational Quadratic Class On the Divisibility of Class Numbers of Cubic Number Fields with Discriminants in a Prescribed Rational Quadratic Class

2005-02-13

arxiv.org/abs/math/0502259v1

Mathematics

Number Theory

10 pages

Scientific paper

Let 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.

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