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Annick Valibouze

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CETTE PAGE EST EN COURS DE CONSTRUCTION (Mai 2006)
22 Avril 2004
Ideali di Galois in teoria di Galois computazionale
Seminario di Geometria Combinatoria "Giuseppe Tallini" Dipartimento di Matematica, Università di Roma "La Sapienza" (Italie).
Cet exposé a donné lieu à la publication
Galois ideals and groups
Quaderni Elettronici del Seminario di Geometria Combinatoria 22E (Febbraio 2006), 1--39
Dipartimento di Matematica, Università degli Studi di Roma "La Sapienza", Italie.

Abstract. We present various methods for determining the Galois ideal of a univariate polynomial f(x). The Galois ideal is the ideal of the relations with coefficients in the base field satified by the roots of f(x). These methods make use of:
- the Galois resolvent;
- the G-resolvent (where G is the Galois group of f(x));
- factorizations in extensions.

Advantages and inconvenients of each method are discussed.