Problème inverse de Galois : critère de rigidité
dc.contributor.advisor | Broer, Abraham | |
dc.contributor.author | Amalega Bitondo, François | |
dc.date.accessioned | 2015-03-17T17:42:02Z | |
dc.date.available | NO_RESTRICTION | fr |
dc.date.available | 2015-03-17T17:42:02Z | |
dc.date.issued | 2015-02-18 | |
dc.date.submitted | 2014-08 | |
dc.identifier.uri | http://hdl.handle.net/1866/11507 | |
dc.subject | Type de ramification | fr |
dc.subject | Revêtements galoisiens | fr |
dc.subject | uplet de classes de conjugaisons kappa-rationnelle | fr |
dc.subject | Ramification type | fr |
dc.subject | Galois covering | fr |
dc.subject | Kappa-rational tuple of conjugacy classes | fr |
dc.subject.other | Mathematics / Mathématiques (UMI : 0405) | fr |
dc.title | Problème inverse de Galois : critère de rigidité | fr |
dc.type | Thèse ou mémoire / Thesis or Dissertation | |
etd.degree.discipline | Mathématiques | fr |
etd.degree.grantor | Université de Montréal | fr |
etd.degree.level | Maîtrise / Master's | fr |
etd.degree.name | M. Sc. | fr |
dcterms.abstract | Dans ce mémoire, on étudie les extensions galoisiennes finies de C(x). On y démontre le théorème d'existence de Riemann. Les notions de rigidité faible, rigidité et rationalité y sont développées. On y obtient le critère de rigidité qui permet de réaliser certains groupes comme groupes de Galois sur Q. Plusieurs exemples de types de ramification sont construis. | fr |
dcterms.abstract | In this master thesis we study finite Galois extensions of C(x). We prove Riemann existence theorem. The notions of rigidity, weak rigidity, and rationality are developed. We obtain the rigidity criterion which enable us to realise some groups as Galois groups over Q. Many examples of ramification types are constructed. | fr |
dcterms.language | fra | fr |
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