activity
20162020
most citedAn approach for computing families of multi-branch-point covers and applications for symplectic Galois groups

3 citations · 12 across the 8 of their papers we have counts for

collaborators

9 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★ 3 cited

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.NT2017★ 1 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.NT2017★ 3 cited

Belyi map for the sporadic group J1

Dominik Barth, Andreas Wenz

We compute the genus 0 Belyi map for the sporadic Janko group J1 of degree 266 and describe the applied method. This yields explicit polynomials having J1 as a Galois group over K(…

math.NT2017★ 2 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…

math.NT2016★ 3 cited

Explicit Polynomials Having the Higman-Sims Group as Galois Group over Q(t)

Dominik Barth, Andreas Wenz

We compute explicit polynomials having the sporadic Higman-Sims group HS and its automorphism group Aut(HS) as Galois groups over the rational function field Q(t).

math.GR2016

The non-existence of sharply -transitive sets of permutations in of degree

Dominik Barth

We use Müller and Nagy's method of contradicting subsets to give a new proof for the non-existence of sharply -transitive subsets of the symplectic groups in…