Answer by Franz Lemmermeyer for Dihedral extension of $\mathbb Q$ with small...
One possibility is looking for quadratic number fields ${\mathbb Q}(\sqrt{5p})$ for prime numbers $p$. If the $2$-class group, which is cyclic, has order $2^n$, then the Hilbert $2$-class field has the...
View ArticleDihedral extension of $\mathbb Q$ with small discriminant
Let $K$ be a fixed quadratic number field, say $K=\mathbb Q(\sqrt 5)$. For any integer $n \geq 3,$ I would like to build a number field $D_n$ such that $D_n/\mathbb Q$ is Galois, with Galois group...
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