ON THE HEIGHT OF SOME GENERATORS OF GALOIS EXTENSIONS WITH BIG GALOIS GROUP - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2024

ON THE HEIGHT OF SOME GENERATORS OF GALOIS EXTENSIONS WITH BIG GALOIS GROUP

Jonathan Jenvrin

Résumé

We study the height of generators of Galois extensions of the rationals having the alternating group An as Galois group. We prove that if such generators are obtained from certain, albeit classical, constructions, their height tends to infinity as n increases. This provides an analogue of a result by Amoroso, originally established for the symmetric group.
Fichier principal
Vignette du fichier
Height_of_generators_of_galois_extensions_big_galois_group (1).pdf (509.35 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04485372 , version 1 (01-03-2024)

Licence

Domaine public

Identifiants

Citer

Jonathan Jenvrin. ON THE HEIGHT OF SOME GENERATORS OF GALOIS EXTENSIONS WITH BIG GALOIS GROUP. 2024. ⟨hal-04485372⟩
15 Consultations
18 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More