Résolvantes et fonctions symétriques

Abstract : In the present paper a model of transformations of polynomial equations (the so called " direct image " model) is studied. We express, in this model, some minimal polynomials and some resolvents relative to the Galois group of a polynomial in order to use a general algorithm of resolution. This algorithm can be effectively computed in MACSYMA with the extension SYM that manipulates symmetric polynomials. We give a few examples obtained by specializing the general algorithm for the Galois resolvent.
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Annick Valibouze. Résolvantes et fonctions symétriques. Proceedings of the ACM-SIGSAM 1989 International Symposium on Symbolic and Algebraic Computation, ⟨ACM⟩, pp.390-399, 1989, 0-89791-325-6. ⟨10.1145/74540.74586⟩. ⟨hal-01672091⟩

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