Article
MSC:
11R11,
11R16,
11R18,
11R27,
11R29 | MR 4270463 | Zbl 07396207 | DOI: 10.14712/1213-7243.2021.008
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Keywords:
$2$-group rank; $2$-class group; imaginary triquadratic number fields
$2$-group rank; $2$-class group; imaginary triquadratic number fields
Summary:
Let $d$ be a square free integer and $L_d:=\mathbb{Q}(\zeta_{8},\sqrt{d})$. In the present work we determine all the fields $L_d$ such that the $2$-class group, $\mathrm{Cl}_2(L_d)$, of $L_d$ is of type $(2,4)$ or $(2,2,2)$.
References:
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