Cihlar, Jiri and Fuka, Jaroslav and Kuril, Martin (2015) Polynomials with a given cyclic Galois group. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 31 (2). pp. 207-214. ISSN 0866-0174
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Abstract
For every natural number n such that 2n + 1 is a prime, we present an explicit monic irreducible n th degree polynomial with integer coefficients whose Galois group over the field of all rational numbers is isomorphic to the cyclic group Zn. The discriminant of the splitting field of the presented polynomial is equal to (2n + 1)n−1 .
| Item Type: | Article |
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| Uncontrolled Keywords: | Galois group of a polynomial, discriminant of a number field. |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 06 Feb 2024 11:05 |
| Last Modified: | 06 Feb 2024 11:28 |
| URI: | http://real.mtak.hu/id/eprint/187671 |
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