How to determine the Galois correspondence of the extension $\mathbb{Q}(\zeta_{28})/\mathbb{Q}$, where $\zeta_{28}$ is a primitive 28-th root of unity?
It seems that in link only $\mathbb{Q}(\zeta_n)/\mathbb{Q}$ for $n=p^k$ is discussed.
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Do you mean, that you want to compute that Galois group? – José Alejandro Aburto Araneda Dec 28 '18 at 14:27
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no, I meant that I want to the determine the diagrams of intermediate fields and subgroups of the Galois group. – Dec 28 '18 at 14:30
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Have you identified the Galois group? – Angina Seng Dec 28 '18 at 14:52
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It is $(\mathbb{Z}/28\mathbb{Z})^\times$. – Dec 28 '18 at 15:08
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It seems that in link only $\mathbb{Q}(n)/\mathbb{Q}$ for $n=p^k$ is discussed. – Dec 29 '18 at 13:10