An ideal theoretic proof on monogenity of cyclic sextic fields of prime power conductor (Q1710750)
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scientific article; zbMATH DE number 7005760
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An ideal theoretic proof on monogenity of cyclic sextic fields of prime power conductor |
scientific article; zbMATH DE number 7005760 |
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An ideal theoretic proof on monogenity of cyclic sextic fields of prime power conductor (English)
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23 January 2019
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It is shown that there exactly three monogenic cyclic sextic fields of prime-power conductor, namely $\mathbb Q(\zeta_7), \mathbb Q(\zeta_9)$ and the maximal real subfield of $\mathbb Q(\zeta_{13})$.
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monogenic fields
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cyclic fields
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cubic fields
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