Stephan Elsenhans, Paderborn
"Computation of Galois groups"
The computation of the Galois group of a polynomial with rational coefficients can be done 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.