Computation of the Galois Groups of the Resolvent Factors for the Direct and Inverse Galois Problems - Sorbonne Université
Book Sections Year : 1995

Computation of the Galois Groups of the Resolvent Factors for the Direct and Inverse Galois Problems

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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hal-01672054 , version 1 (23-12-2017)

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Annick Valibouze. Computation of the Galois Groups of the Resolvent Factors for the Direct and Inverse Galois Problems. G{\'e}rard Cohen and Marc Giusti and Teo Mora. Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 11th International Symposium, AAECC-11 Paris, France, July 17--22, 1995 Proceedings, 948, Springer Berlin Heidelberg, pp.456-468, 1995, Lecture Notes in Computer Science, 978-3-540-49440-9. ⟨10.1007/3-540-60114-7_36⟩. ⟨hal-01672054⟩
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