The integral trace form as a complete invariant for real \(S_n\) number fields (Q2097677)
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scientific article; zbMATH DE number 7616333
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The integral trace form as a complete invariant for real \(S_n\) number fields |
scientific article; zbMATH DE number 7616333 |
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The integral trace form as a complete invariant for real \(S_n\) number fields (English)
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14 November 2022
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Summary: In this paper we show that the integral trace is a complete invariant for degree \(n, S_n\) real number fields that satisfy certain ramification bound. Among the fields that our results cover, there are those of square free different ideal; for such fields we find an explicit description of the isometry group of the integral trace.
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integral trace form
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tame fields
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\(S_n\)-extensions
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