Computation of Hurwitz spaces and new explicit polynomials for almost simple Galois groups

Joachim König

We compute the first explicit polynomials with Galois groups $G=P\Gamma L_3(4)$, $PG{L}_3(4)$, $PS{L}_3(4)$ and $PS{L}_5(2)$ over $\mathbb{Q}(t)$. Furthermore we compute the first examples of…