[en] Let K be a quadratic number field and let \alpha \in K*. We present an explicit finite procedure to compute at once all Kummer degrees [K(\zeta_m,\sqrt[n]{\alpha}):K(\zeta_m)] for n,m \geq 1 with n|m, where \zeta_m denotes a primitive m-th root of unity. We can also replace \alpha by any finitely generated subgroup of K*.
Disciplines :
Mathématiques
Auteur, co-auteur :
Hörmann, Fritz; University of Freiburg > Mathematics
PERUCCA, Antonella ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
SGOBBA, Pietro ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
TRONTO, Sebastiano ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Explicit Kummer theory for quadratic fields
Date de publication/diffusion :
2021
Titre du périodique :
JP Journal of Algebra, Number Theory and Applications
