activity
20162020
most citedExplicit Belyi maps over Q having almost simple primitive monodromy groups

2 citations · 3 across the 3 of their papers we have counts for

collaborators

7 papers

math.NT2020

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…

math.NT2019

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…

math.NT2018

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).

math.NT2018

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…

math.NT20171 cited

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…

math.NT20172 cited

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…