A family of 4branchpoint covers with monodromy group PSL(6,2)
Abstract
We describe the explicit computation of a family of 4branchpoint rational functions of degree 63 with monodromy group PSL(6,2). This, in particular, negatively answers a question by J. König whether there exists a such a function with rational coefficients. The computed family also gives rise to nonregular degree126 realizations of Aut(PSL(6,2)) over Q(t).
 Publication:

arXiv eprints
 Pub Date:
 April 2020
 arXiv:
 arXiv:2004.10997
 Bibcode:
 2020arXiv200410997B
 Keywords:

 Mathematics  Number Theory
 EPrint:
 13 pages, the polynomials are contained in the ancillary files