TY - JOUR
AB - We describe methods for the computation of Galois groups of univariate polynomials over the rationals which we have implemented up to degree 15. These methods are based on Stauduhar’s algorithm. All computations are done in unramified p -adic extensions. For imprimitive groups we give an improvement using subfields. In the primitive case we use known subgroups of the Galois group together with a combination of Stauduhar’s method and the absolute resolvent method.
AU - Geissler, Katharina
AU - Klüners, Jürgen
ID - 34900
IS - 6
JF - Journal of Symbolic Computation
KW - Computational Mathematics
KW - Algebra and Number Theory
SN - 0747-7171
TI - Galois Group Computation for Rational Polynomials
VL - 30
ER -