论文标题

单分支组PSL的4个分支点覆盖(6,2)的家族(6,2)

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

论文作者

Barth, Dominik, Wenz, Andreas

论文摘要

我们描述了用单肌组PSL的4分单位合理函数的一个4分点合理函数家族的明确计算(6,2)。尤其是,这是否定的。计算的家族还引起了Q(t)上AUT(PSL(6,2))的非规范学位-126实现。

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. König 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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