On index divisors and non-monogenity of certain quintic number fields defined by <i>x</i><sup>5</sup> + <i>ax</i><sup><i>m</i></sup> + <i>bx</i> + <i>c</i> (Q6157677)
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scientific article; zbMATH DE number 7700040
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On index divisors and non-monogenity of certain quintic number fields defined by <i>x</i><sup>5</sup> + <i>ax</i><sup><i>m</i></sup> + <i>bx</i> + <i>c</i> |
scientific article; zbMATH DE number 7700040 |
Statements
On index divisors and non-monogenity of certain quintic number fields defined by <i>x</i><sup>5</sup> + <i>ax</i><sup><i>m</i></sup> + <i>bx</i> + <i>c</i> (English)
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22 June 2023
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index of a number field
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monogenic
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Newton polygon
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power integral basis
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prime ideal factorization
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theorem of Dedekind
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theorem of Ore
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quintic fields
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quadrinomial
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