Computation of the Galois groups of the resolvent factors for the direct and inverse Galois problems

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Abstract

In this paper we present a new method for determining the Galois group of a square free univariate polynomial. This method makes use of a priori computation of the Galois group of the factors of its resolvents, and can also be used for the Galois inverse problem.

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Valibouze, A. (1995). Computation of the Galois groups of the resolvent factors for the direct and inverse Galois problems. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 948, pp. 456–468). Springer Verlag. https://doi.org/10.1007/3-540-60114-7_36

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