论文标题
零星群体的琐碎源体内的模块
Trivial-source endotrivial modules for sporadic groups
论文作者
论文摘要
我们确定了$ g $ a（准）简单类型类型的植物培养模块（作为抽象组），从而扩展了文献中的先前结果。在许多零星的情况下，我们直接构建了琐碎源架构模块的亚组。我们还解决了一个问题，即在大多数开放式案例中，Lassueur，Malle和Schulte提出的某些零星群体的某些简单模块是否为谋生。结果在很大程度上取决于对由于grodal造成的琐碎源代码模块的最新描述。
We determine the group of endotrivial modules (as an abstract group) for $G$ a (quasi)simple group of sporadic type, extending previous results in the literature. In many sporadic cases we directly construct the subgroup of trivial-source endotrivial modules. We also resolve the question of whether certain simple modules for sporadic groups are endotrivial, posed by Lassueur, Malle and Schulte, in the majority of open cases. The results rely heavily on a recent description of the group of trivial-source endotrivial modules due to Grodal.
