A family of 4-branch-point covers with monodromy group PSL(6,2)
Number Theory
2020-04-24 v1
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).
Cite
@article{arxiv.2004.10997,
title = {A family of 4-branch-point covers with monodromy group PSL(6,2)},
author = {Dominik Barth and Andreas Wenz},
journal= {arXiv preprint arXiv:2004.10997},
year = {2020}
}
Comments
13 pages, the polynomials are contained in the ancillary files