References of "JP Journal of Algebra, Number Theory and Applications"
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See detailExplicit Kummer generators for cyclotomic extensions
Hoermann, Fritz; Perucca, Antonella UL; Sgobba, Pietro UL et al

in JP Journal of Algebra, Number Theory and Applications (in press)

Detailed reference viewed: 66 (11 UL)
Full Text
Peer Reviewed
See detailExplicit Kummer theory for quadratic fields
Hörmann, Fritz; Perucca, Antonella UL; Sgobba, Pietro UL et al

in JP Journal of Algebra, Number Theory and Applications (2021)

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 ... [more ▼]

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*. [less ▲]

Detailed reference viewed: 197 (13 UL)