Unit indices of some imaginary composite quadratic fields (Q1326970)
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scientific article; zbMATH DE number 589810
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unit indices of some imaginary composite quadratic fields |
scientific article; zbMATH DE number 589810 |
Statements
Unit indices of some imaginary composite quadratic fields (English)
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15 June 1994
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Let \(K\) be an imaginary abelian number field of type (2,2,2,2) not containing the 8th cyclotomic field. Using the fundamental units of real quadratic subfields of \(K\), we give a necessary and sufficient condition for the unit index \(Q_ K\) of \(K\) to be equal to 2.
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imaginary abelian number field
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fundamental units
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unit index
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0.98168164
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0.9362325
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0.91782844
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0.9172518
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0.9054129
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0.90069044
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0.90010494
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