论文标题
与Quasisimple Galois组有限扩展的Hopf-Galois结构
Hopf-Galois structures on finite extensions with quasisimple Galois group
论文作者
论文摘要
让$ l/k $成为Galois Group $ g $的田野的有限galois扩展。众所周知,$ l/k $在$ g $很简单时完全承认了两个霍普加 - 盖洛瓦结构。在本文中,我们将此结果扩展到$ g $是Quasisimple的情况下。
Let $L/K$ be a finite Galois extension of fields with Galois group $G$. It is known that $L/K$ admits exactly two Hopf-Galois structures when $G$ is non-abelian simple. In this paper, we extend this result to the case when $G$ is quasisimple.