论文标题
在子空间上传递的经典组的亚组
Subgroups of Classical Groups that are Transitive on Subspaces
论文作者
论文摘要
对于每个有限的古典$ g $，我们对$ g $的亚组进行了分类，这些子组在自然模块的$ g $ invariant集合上进行了传输，在该子空间中，该子空间是完全同型或非等级的。我们的证明使用了几乎简单组的最大分解分类。作为这些结果的第一个应用，我们将有限厚的广义四边形的自动形态的所有点传递亚组分类。
For each finite classical group $G$, we classify the subgroups of $G$ which act transitively on a $G$-invariant set of subspaces of the natural module, where the subspaces are either totally isotropic or nondegenerate. Our proof uses the classification of the maximal factorisations of almost simple groups. As a first application of these results we classify all point-transitive subgroups of automorphisms of finite thick generalised quadrangles.
