The Computation of Sextic Fields with a Cubic Subfield and no Quadratic Subfield

DOI10.2307/2153044zbMath0746.11041OpenAlexW4248396736MaRDI QIDQ3987945

Michel Olivier

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2153044

zbMATH Keywords

tablescomputationlist of Galois groupssextic fields with cubic subfields

Mathematics Subject Classification ID

Galois theory (11R32) Quadratic extensions (11R11) Other number fields (11R21) Algebraic number theory computations (11Y40) Software, source code, etc. for problems pertaining to number theory (11-04)

Related Items (9)

Sharp lower bounds for regulators of small-degree number fields ⋮ Constructing complete tables of quartic fields using Kummer theory ⋮ A Database for Field Extensions of the Rationals ⋮ Primes in the Chebotarev density theorem for all number fields (with an appendix by Andrew Fiori) ⋮ Artin \(L\)-functions of small conductor ⋮ On small discriminants of number fields of degree 8 and 9 ⋮ Unnamed Item ⋮ Galois groups of doubly even octic polynomials ⋮ Corps sextiques primitifs. (Primitive sextic fields)

Cites Work

• Unnamed Item
• Corps sextiques primitifs. (Primitive sextic fields)
• On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields
• Improved Methods for Calculating Vectors of Short Length in a Lattice, Including a Complexity Analysis
• The Determination of Fields of Small Discriminant With a Given Subfield.
• A Table of Real Cubic Fields
• The Computation of Sextic Fields with a Quadratic Subfield
• Effective Determination of the Decomposition of the Rational Primes in a Cubic Field
• The transitive groups of degree up to eleven⁺
• On Totally Real Cubic Fields
• On Totally Real Cubic Fields with Discriminant D < 10 7
• A Table of Totally Real Cubic Fields
• A Table of Complex Cubic Fields

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