Power Integral Bases in Cubic Relative Extensions

DOI10.1080/10586458.2001.10504436zbMath1014.11080OpenAlexW2059490704MaRDI QIDQ2729386

István Gaál

Publication date: 22 July 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232039

zbMATH Keywords

relative Thue equationrelative extensionpower integral base

Mathematics Subject Classification ID

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

Related Items (6)

Monogenic binomial compositions ⋮ The scheme of monogenic generators. I: Representability ⋮ Calculating power integral bases by using relative power integral bases ⋮ Application of Weierstrass units to relative power integral bases ⋮ Monogenic cyclotomic compositions ⋮ The monogeneity of radical extensions

Uses Software

• KANT/KASH

Cites Work

• On the resolution of index form equations in sextic fields with an imaginary quadratic subfield
• On the resolution of index form equations in quartic number fields
• KANT V4
• Solving index form equations in fields of degree 9 with cubic subfields
• Computing elements of given index in totally complex cyclic sextic fields
• Simultaneous representation of integers by a pair of ternary quadratic forms -- with an application to index form equations in quartic number fields
• On the resolution of relative Thue equations
• Computing All Power Integral Bases of Cubic Fields
• Power Integral Bases in Composits of Number Fields
• Power integral bases in a parametric family of totally real cyclic quintics
• Computing all power integral bases in orders of totally real cyclic sextic number fields
• Computing power integral bases in quartic relative extensions
• Unnamed Item

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