EXPLICIT KUMMER THEORY FOR QUADRATIC FIELDS

DOI10.17654/NT050020151zbMath1499.11324MaRDI QIDQ5073998

Antonella Perucca, Sebastiano Tronto, Fritz Hörmann, Pietro Sgobba

Publication date: 6 May 2022

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

cyclotomic fieldKummer theorydegreequadratic fieldKummer extensionnumber field

Mathematics Subject Classification ID

Quadratic extensions (11R11) Other number fields (11R21) Algebraic number theory computations (11Y40) Cyclotomic extensions (11R18)

Related Items (1)

Kummer theory for multiquadratic or quartic cyclic number fields

Cites Work

• Unnamed Item
• Reductions of algebraic integers
• The order of the reductions of an algebraic integer
• Field Arithmetic
• Calculation of the Class Numbers of Imaginary Cyclic Quartic Fields
• Artin's Primitive Root Conjecture – A Survey
• The degree of Kummer extensions of number fields
• Explicit Kummer theory for the rational numbers
• Kummer theory for number fields and the reductions of algebraic numbers

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