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On the Resolution of Index Form Equations in Sextic Fields with an Imaginary Quadratic Subfield

✍ Scribed by ISTVÁN GAÁL; MICHAEL POHST

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
538 KB
Volume
22
Category
Article
ISSN
0747-7171

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✦ Synopsis

We give an efficient algorithm for the resolution of index form equations, especially for determining power integral bases, in sextic fields with an imaginary quadratic subfield. The method reduces the problem to the resolution of a cubic relative Thue equation over the quadratic subfield. At the end of the paper we give a table containing the generators of all power integral bases in the first 25 fields of this type with smallest discriminant (in absolute value).

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