Sextic cyclic fields containing cubic root of unity (Q750510)
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scientific article; zbMATH DE number 4175066
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sextic cyclic fields containing cubic root of unity |
scientific article; zbMATH DE number 4175066 |
Statements
Sextic cyclic fields containing cubic root of unity (English)
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1989
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Let \(\eta \in {\mathbb{Q}}(\rho)/{\mathbb{Q}}(\rho)^ 3\) where \(\rho\) is a cubic root of unity, and let \(\beta\) be a root of \(x^ 3-\eta =0\). The author determines when the field \({\mathbb{Q}}(\rho,\beta)\) is cyclic and indicates the relations with fields in [Sci. Sin., Ser. A (Zhongguo Kexue) 7, 698- 706 (1985); Sci. China, Ser. A 32, 52-61 (1989; Zbl 0676.12001)].
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abelian number field
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cubic extension
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