Non-monogeneity in a family of sextic fields

DOI10.1016/S0022-314X(02)00004-5zbMath1032.11045OpenAlexW2086640955MaRDI QIDQ1867438

Mu-Ling Chang

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-314x(02)00004-5

zbMATH Keywords

power integral basesfamily of sextic fields

Mathematics Subject Classification ID

Other number fields (11R21) Algebraic number theory computations (11Y40) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (3)

Iwasawa invariants of some non-cyclotomic \(\mathbb{Z}_p\)-extensions ⋮ Integral Bases and Monogenity of Composite Fields ⋮ The monogeneity of radical extensions

Cites Work

• On the resolution of index form equations in sextic fields with an imaginary quadratic subfield
• Computing elements of given index in totally complex cyclic sextic fields
• Computing All Power Integral Bases of Cubic Fields
• Thue and Thue-Mahler Equations over Rings of Integers
• The Solution of Triangularly Connected Decomposable Form Equations
• Number fields
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