The degree of Kummer extensions of number fields

DOI10.1142/S1793042121500263zbMath1476.11135OpenAlexW3088807789MaRDI QIDQ4995420

Sebastiano Tronto, Pietro Sgobba, Antonella Perucca

Publication date: 24 June 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042121500263

zbMATH Keywords

Kummer theorydegreeKummer extensionnumber field

Mathematics Subject Classification ID

Other number fields (11R21) Algebraic number theory computations (11Y40) Other abelian and metabelian extensions (11R20)

Related Items (6)

Divisibility parameters and the degree of Kummer extensions of number fields ⋮ EXPLICIT KUMMER THEORY FOR QUADRATIC FIELDS ⋮ Kummer theory for number fields via entanglement groups ⋮ Divisibility conditions on the order of the reductions of algebraic numbers ⋮ Unified treatment of Artin-type problems ⋮ Kummer theory for multiquadratic or quartic cyclic number fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reductions of algebraic integers
• The order of the reductions of an algebraic integer
• Autour d'une conjecture de Serge Lang. (Around a conjecture by Serge Lang)
• Kummer theory on extensions of Abelian varieties by tori
• Addendum to: ``Reductions of algebraic integers
• Galois descent in Galois theories
• Explicit Kummer theory for the rational numbers
• Kummer theory for number fields and the reductions of algebraic numbers

This page was built for publication: The degree of Kummer extensions of number fields