Computation of the decomposition group of a triangular ideal

Inès Abdeljaouad-Tej (1) , Sébastien Orange (2) , Guénaël Renault (2) , Annick Valibouze (3, 2)

1 Ecole Supérieure de la Statistique et de l'Analyse de l'Information
2 SPIRAL - Systèmes Polynomiaux, Implantation, Résolution Algébrique
3 LSTA - Laboratoire de Statistique Théorique et Appliquée

This article describes two algorithms in order to search decomposition groups of ideals of polynomials with coefficients in a perfect field when those ideals are generated by a triangular system of generators.

Mots clés: Triangular Ideal; Strong Generating Set

Domaines: Calcul formel [cs.SC]

Inès Abdeljaouad-Tej, Sébastien Orange, Guénaël Renault, Annick Valibouze. Computation of the decomposition group of a triangular ideal. Applicable Algebra in Engineering, Communication and Computing, 2004, 15 (3-4), pp.279--294. ⟨10.1007/s00200-004-0160-x⟩. ⟨hal-00556814⟩