| Issue |
RAIRO-Theor. Inf. Appl.
Volume 33, Number 1, January Fabruary 1999
|
|
|---|---|---|
| Page(s) | 59 - 77 | |
| DOI | https://doi.org/10.1051/ita:1999106 | |
| Published online | 15 August 2002 | |
Calculs d'invariants primitifs de groupes finis
CalFor - LIP6, Université Paris VI,
4 place Jussieu, 75252 Paris Cedex 05, France;
Ines.Abdeljaouad@lip6.fr.
Received:
September
1997
Accepted:
November
1998
We introduce in this article a new method to calculate all absolute and relatif primitive invariants of finite groups. This method is inspired from K. Girstmair which calculate an absolute primitive invariant of minimal degree. Are presented two algorithms, the first one enable us to calculate all primitive invariants of minimal degree, and the second one calculate all absolute or relative primitive invariants with distincts coefficients. This work take place in Galois Theory and Invariant Theory.
Résumé
Nous introduisons dans cet article un nouvel outil de calcul de tous les invariants primitifs relatifs et absolus de groupes finis. Cette méthode est inspirée par l'algorithme de K. Girstmair qui calcule un invariant primitif absolu de degré minimal. Sont présentés deux algorithmes : le premier algorithme calcule tous les invariants primitifs de degré minimal et le deuxième algorithme calcule tous les invariants primitifs à coefficients distincts. Ce travail entre dans le cadre de la théorie de Galois et la théorie des Invariants.
© EDP Sciences, 1999
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