2 citations · 3 across the 3 of their papers we have counts for
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A family of 4-branch-point covers with monodromy group PSL(6,2)
Dominik Barth, Andreas Wenz
We describe the explicit computation of a family of 4-branch-point rational functions of degree 63 with monodromy group PSL(6,2). This, in particular, negatively answers a question…
On Elkies' method for bounding the transitivity degree of Galois groups
Dominik Barth, Andreas Wenz
In 2013 Elkies described a method for bounding the transitivity degree of Galois groups. Our goal is to give additional applications of this technique, in particular verifying that…
A one-parameter family of degree 36 polynomials with PSp(6,2) as Galois group over Q(t)
Dominik Barth, Andreas Wenz
We present a one-parameter family of degree 36 polynomials with the symplectic 2-transitive group PSp(6,2) as Galois group over Q(t).
An approach for computing families of multi-branch-point covers and applications for symplectic Galois groups
Dominik Barth, Joachim König, Andreas Wenz
We propose an approach for the computation of multi-parameter families of Galois extensions with prescribed ramification type. More precisely, we combine existing deformation and i…
Belyi map for the sporadic group J2
Dominik Barth, Andreas Wenz
We present a genus 0 Belyi map for the sporadic Janko group J2 of degree 280. As a consequence we obtain a polynomial having Aut(J2) as a Galois group over K(t) where K is a number…
Explicit Belyi maps over Q having almost simple primitive monodromy groups
Dominik Barth, Andreas Wenz
We present all Belyi maps P^1(C) -> P^1(C) having almost simple primitive monodromy groups (not isomorphic to A_n or S_n) containing rigid and rational generating triples of degree…