@article{ITA_1999__33_1_59_0, author = {Abdeljaouad, Ines}, title = {Calculs d'invariants primitifs de groupes finis}, journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications}, pages = {59--77}, publisher = {EDP-Sciences}, volume = {33}, number = {1}, year = {1999}, mrnumber = {1705856}, zbl = {0937.13001}, language = {fr}, url = {http://archive.numdam.org/item/ITA_1999__33_1_59_0/} }
TY - JOUR AU - Abdeljaouad, Ines TI - Calculs d'invariants primitifs de groupes finis JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 1999 SP - 59 EP - 77 VL - 33 IS - 1 PB - EDP-Sciences UR - http://archive.numdam.org/item/ITA_1999__33_1_59_0/ LA - fr ID - ITA_1999__33_1_59_0 ER -
%0 Journal Article %A Abdeljaouad, Ines %T Calculs d'invariants primitifs de groupes finis %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 1999 %P 59-77 %V 33 %N 1 %I EDP-Sciences %U http://archive.numdam.org/item/ITA_1999__33_1_59_0/ %G fr %F ITA_1999__33_1_59_0
Abdeljaouad, Ines. Calculs d'invariants primitifs de groupes finis. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 33 (1999) no. 1, pp. 59-77. http://archive.numdam.org/item/ITA_1999__33_1_59_0/
[1] Calculs d'invariants primitifs minimaux et implantation en Axiom, Mémoire de stage, DEA Algorithmique (1996). Disponible sur la page web du Projet Galois du GDR MEDICIS : http://rnedicis.polyteclinique.fr/medicis/projetGalois
,[2] Package PrimitiveInvariant sous GAP, (1997). Disponible sur la page web du Projet Galois du GDR MEDICIS : http://medicis.polytechnique.fr/medicis/projetGalois
,[3] Lagrange resolvents. J. Pure Appl. Algebra (1997). | MR | Zbl
and ,[4] The condition that a quintic equation should be soluble by radicals. Proc. London Math. Soc. 14 (1915) 301-307. | JFM
,[5] On soluble sextic equations. Proc. London Math. Soc. 29 (1929) 1-28. | JFM
,[6] On a new auxiliary equation in the theory of equation of fifth order. Philos. Trans. Roy. Soc. London, CLL (1861).
,[7] Formal computation of Galois groups with relative resolvents, AAECC'95, Springer Verlag, Lecture Notes in Computer Science 948 (1995) 169-182. | MR | Zbl
,[8] Solving a System of algebraic equations with symmetries. J. Pure and Appl. Algebra (1996). | MR | Zbl
,[9] The resolvents of an equation of seventh degree. Quart. J. Math. Oxford Ser. (1931) 9-19. | Zbl
,[10] G. A. P. Groups, algorithms and programming, Martin Schönert and others, Lehrstuhl D für Mathematik, Rheinisch-Westfälische Technische Hochoschule, Aachem, gap@samson.math.rwth-aachen.de (1993).
[11] On invariant polynomials and their application in field theory. Maths of Comp. 48 (1987) 781-797. | MR | Zbl
,[12] Traité des substitutions et des équations algébriques, Gauthier-Villard, Paris (1870). | Zbl
,[13] Calculating invariant rings of finite groups over arbitrary fields. J. Symbolic Commutation (1995). | MR | Zbl
,[14] Resolvent computation by resultants without extraneous powers. J. Pure Appl. Algebra (1999) à paraître.
,[15] Ueber die factoren des algebraisch lôsbaren irreducible Gleichungen vom sechsten Grade und ihren Resolvanten. Journal für Math. 37 (1848) 193-220. | Zbl
,[16] Modules de Cauchy, Rapport interne LIP6 (1997).
and ,[17] The computation of the Galois groups, Thesis in departement of computer science, Concordia University, Montreal, Quebec, Canada (1981).
,[18] The computation of Galois groups. Math. Cornp. 27 (1973) 981-996. | MR | Zbl
,[19] Algorithms in invariant theory, Wien, New-York: Springer Verlag (1993). | MR | Zbl
,[20] Groupes de Galois jusqu'en degré 7. Rapport interne LIP6 (1997).
,[21] Mémoire de l'Académie des Sciences de Paris (1771).
,[22] A method for the determination of the Galois group, Amer. Math. Soc. (1949). | MR
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