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.
Document type :
Book sections
Complete list of metadatas

Cited literature [17 references]  Display  Hide  Download

https://hal.sorbonne-universite.fr/hal-01672054
Contributor : Annick Valibouze <>
Submitted on : Saturday, December 23, 2017 - 12:37:40 AM
Last modification on : Friday, January 4, 2019 - 5:33:25 PM
Long-term archiving on : Saturday, March 24, 2018 - 12:24:00 PM

File

1995_AAECC_cor_LNCS948_Inverse...
Files produced by the author(s)

Identifiers

Citation

Annick Valibouze. Computation of the Galois Groups of the Resolvent Factors for the Direct and Inverse Galois Problems. Gtard Cohen and Marc Giusti and Toe 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⟩

Share

Metrics

Record views

58

Files downloads

206