| Issue |
RAIRO-Theor. Inf. Appl.
Volume 39, Number 4, October-December 2005
|
|
|---|---|---|
| Page(s) | 651 - 659 | |
| DOI | https://doi.org/10.1051/ita:2005034 | |
| Published online | 15 October 2005 | |
Note sur les relations entre les racines d'un polynôme réductible
A note on the relations among the roots of reductible polynomials
LIP6, Université Paris VI,
4 place Jussieu, 75252 Paris Cedex 05, France; avb@ccr.jussieu.fr
Reçu :
4
Mars
2004
Accepté :
1
Novembre
2004
Dans cet article, nous exploitons la réductibilité d'un polynôme d'une variable pour calculer efficacement l'idéal des relations algébriques entre ses racines.
Abstract
In this paper, we use reducibility of an univariate polynomial in order to compute efficiently the ideal of relations between its roots.
Classification Mathématique : 12F10 / 12Y05
Key words: Groupe de Galois / idéal de Galois / polynôme réductible / corps de décomposition.
© EDP Sciences, 2005
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