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arXiv · 2004.10997

A family of 4-branch-point covers with monodromy group PSL(6,2)

Dominik Barth·Andreas Wenz
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Abstract

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 by J. K\"onig whether there exists a such a function with rational coefficients. The computed family also gives rise to non-regular degree-126 realizations of Aut(PSL(6,2)) over Q(t).

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Dominik Barth, Andreas Wenz. 2020-04-23. A family of 4-branch-point covers with monodromy group PSL(6,2). https://arxiv.org/abs/2004.10997

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