The computation of Galois groups over function fields /

• Main Author: Mattman, Thomas W.
• Other Authors: McKay, J. (advisor)
• Format: Others
• Language: en
• Published: McGill University 1992
• Subjects: Mathematics.
• Online Access: http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=56944

Practical computational techniques are described to determine the Galois group of a degree 8 polynomial over a function field of the form Q($t sb1$, ...,$t sb{r}$). Each transitive permutation group of degree 8 is realized as a Galois group over the rationals. The techniques of Soicher and McKay (SM) for rational polynomials of degree less than 8 are also extended to function fields. Timing and efficiency of a MAPLE V implementation are discussed.