Type: Seminar

Distribution: World

Expiry: 14 Nov 2014

Auth: donnelly@seurat.maths.usyd.edu.au

Date: Thursday November 6 Time: 3pm Room: Carslaw 173 Speaker: Stephan-Andreas Elsenhans (Sydney) Title: Computation of Galois groups The computation of the Galois group of a polynomial with rational coefficients is done in magma by using Stauduhar’s method. On a first glace this approach looks quite simple. But in its initial form it could only give heuristic results for polynomials of degree at most 7. In this talk I will explain variations of the method that enable us to determine the Galois group of a degree 20 polynomial with moderate coefficients in about 1 second. Finally, we will have a try with a degree 63 polynomial.