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

Annick Valibouze
Laboratoire Informatique Théorique et Programmation
CV

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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Symbolic Computation [cs.SC]
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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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