An explicit integral polynomial whose splitting field has Galois group W(E_8)
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JOUVE, Florent | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Laboratoire de mathématiques | |
| dc.contributor.author | KOWALSKI, E. | |
| dc.contributor.author | ZYWINA, D. | |
| dc.date.accessioned | 2024-04-04T02:37:49Z | |
| dc.date.available | 2024-04-04T02:37:49Z | |
| dc.date.created | 2008-01-11 | |
| dc.date.issued | 2009 | |
| dc.identifier.issn | 2118-8572 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190833 | |
| dc.description.abstractEn | Using the principle that characteristic polynomials of matrices obtained from elements of a reductive group over a number field typically have splitting field with Galois group isomorphic to its Weyl group, we construct an explicit monic integral polynomial of degree 240 whose splitting field has Galois group the Weyl group of the exceptional group of type E_8. | |
| dc.language.iso | en | |
| dc.publisher | Société Arithmétique de Bordeaux | |
| dc.title.en | An explicit integral polynomial whose splitting field has Galois group W(E_8) | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.subject.hal | Mathématiques [math]/Théorie des groupes [math.GR] | |
| dc.identifier.arxiv | 0801.1733 | |
| bordeaux.journal | Journal de Théorie des Nombres de Bordeaux | |
| bordeaux.page | ? | |
| bordeaux.volume | Volume en l'honneur de Henri Cohen | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00387294 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00387294v1 | |
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