Explicit Galois Realization of Transitive Groups of Degree up to 15 - Klüners, Jürgen; Malle, Gunter (Journal of Symbolic Computation, 2000)
We describe methods for the construction of polynomials with certain types of Galois groups. As an application we deduce that all transitive groups G up to degree 15 occur as Galois groups of regular extensions of ℚ (t), and in each case compute a polynomial f ∈ ℚ [ x ] with Gal(f) = G.
published
Keywords: article; Computational Mathematics -- Algebra and Number Theory