Tables of octic fields with a quartic subfield

DOI10.1090/S0025-5718-99-01074-1zbMath1036.11066MaRDI QIDQ4257700

Francisco Diaz y Diaz, Michel Olivier, Henri Cohen

Publication date: 31 August 1999

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

discriminantClass field theorynumber field

Mathematics Subject Classification ID

Other number fields (11R21) Algebraic number theory computations (11Y40) Class field theory (11R37)

Related Items (9)

Minimal discriminants for fields with small Frobenius groups as Galois groups. ⋮ Constructing complete tables of quartic fields using Kummer theory ⋮ A Database for Field Extensions of the Rationals ⋮ HT90 and ``simplest number fields ⋮ The minimum discriminant of number fields of degree 8 and signature \((2,3)\) ⋮ On small discriminants of number fields of degree 8 and 9 ⋮ The class number one problem for some non-abelian normal CM-fields of degree 24 ⋮ Realization over \(\mathbb{Q}\) of the groups \(\tilde A_5\) and \(\hat A_5\) ⋮ ON THE MINIMUM ABSOLUTE VALUE OF THE DISCRIMINANT OF ABELIAN FIELDS OF DEGREE p²

Cites Work

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• A polynomial reduction algorithm
• On Transitive Permutation Groups
• Zeta functions do not determine class numbers
• Imprimitive Ninth-Degree Number Fields with Small Discriminants
• A fast algorithm to compute cubic fields
• Computing ray class groups, conductors and discriminants

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