论文标题
关于函数字段的逆向加洛伊斯问题的评论
Remarks on the inverse Galois problem over function fields
论文作者
论文摘要
在本文中，我们证明了在有限的谎言类型组的全球功能字段上，逆Galois问题的新实例。这是通过构建$ \ ell $ -Adic Galois表示的兼容系统，使用Galois理论和自动形态方法在半胶合组$ G $中价值，然后证明Galois图像对于使用Galois图像上的Larsen of Galois for Ampatible Sytemss的正规密度结果证明了Galois图像是最大的。
In this paper, we prove new instances of the inverse Galois problem over global function fields for finite groups of Lie type. This is done by constructing compatible systems of $\ell$-adic Galois representations valued in a semisimple group $G$ using Galois theoretic and automorphic methods, and then proving that the Galois images are maximal for a set of primes of positive density using a classical result of Larsen on Galois images for compatible sytems.
