[Cherubino] Quaderni Elettronici del Seminario di Geometria Combinatoria 22E (Febbraio 2006), 1--39
Università degli Studi di Roma "La Sapienza" - Dipartimento di Matematica

Annick VALIBOUZE
Galois ideals and groups
(Febbraio 2006)

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.

Author:
Annick Valibouze
Université Paris 6, France
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