Institut de Mathématiques de Marseille, UMR 7373




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Computations of Galois groups and Splitting Fields

Jeudi 12 septembre 11:00-12:00 - Nicole SUTHERLAND - University of Sydney

Computations of Galois groups and Splitting Fields

Résumé : The Galois group of a polynomial is the automorphism group of its splitting field. The Galois group of a polynomial can be used to compute a splitting field of a polynomial and this was implemented in Magma by Claus Fieker for polynomials over number fields a little over 10 years ago. I will describe the Fieker-Klueners algorithm for computing Galois groups and how similar approaches can be used to compute splitting fields in 3 representations. My interest in these algorithms is to adjust them for use with polynomials over global function fields and I will discuss progress towards this.

JPEG - 6.8 ko
Nicole SUTHERLAND

Lieu : Amphithéâtre Herbrand 130-134 (1er étage) - Institut de Mathématiques de Marseille (UMR 7373)
Site Sud - Bâtiment TPR2
Campus de Luminy, Case 907
13288 MARSEILLE Cedex 9

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