Vortrag am

Donnerstag, 2.7.2015

Stephan Elsenhans, Paderborn

"Computation of Galois groups"

"Computation of Galois groups"

Abstract:

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.