\(\text{PSL}(2,5)\) sextic fields with a power basis (Q2494620)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\text{PSL}(2,5)\) sextic fields with a power basis |
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\(\text{PSL}(2,5)\) sextic fields with a power basis (English)
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14 July 2006
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The authors present a parametric family of sextic polynomials. They show that by a suitable choice of the parameter the polynomials are irreducible and have Galois group \(\text{PSL}(2,5)\). Then they prove that the roots of those polynomials generate infinitely many sextic number fields which have power integral bases.
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sextic fields
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\(\text{PSL}(2,5)\)
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power basis
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