Computation of Galois groups over function fields |
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| Authors: | Thomas Mattman John McKay. |
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| Affiliation: | Mathematics Department, McGill University, Montréal, H3A 2K6, Canada ; Centre Interuniversitaire en Calcul Mathématique Algébrique Concordia University Montréal, H3G 1M8, Canada |
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| Abstract: | Symmetric function theory provides a basis for computing Galois groups which is largely independent of the coefficient ring. An exact algorithm has been implemented over  in Maple for degree up to 8. A table of polynomials realizing each transitive permutation group of degree 8 as a Galois group over the rationals is included. |
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| Keywords: | Galois groups polynomials computation |
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