Computing Galois groups over the rationals |
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| Authors: | Leonard Soicher John McKay |
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| Affiliation: | Department of Pure Mathematics and Mathematical Statistics, 16 Mill Lane, Cambridge, England CB2 1SB;Department of Computer Science, Concordia University, Montreal, Quebec, Canada H3G 1M8 |
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| Abstract: | ![]()
Practical computational techniques are described to determine the Galois group of a polynomial over the rationals, and each transitive permutation group of degree 3 to 7 is realised as a Galois group over the rationals. The exact computations furnish a proof of the result. |
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