论文标题
有限类型的有限群体的无扭转运动模块
Torsion Free Endotrivial Modules for Finite Groups of Lie Type
论文作者
论文摘要
在本文中,我们在定义和非定义特征中确定了任何有限的谎言类型群体内胎模模块组的无扭转等级。在证明这一点的路上,我们将最大排名$ 2 $ 2 $基本的Abelian $ \ ell $ -subgroups中的任何有限的谎言类型组中的款项分类为任何Prime $ \ ell $,这可能是独立的利益。
In this paper we determine the torsion free rank of the group of endotrivial modules for any finite group of Lie type, in both defining and non-defining characteristic. On our way to proving this, we classify the maximal rank $2$ elementary abelian $\ell$-subgroups in any finite group of Lie type, for any prime $\ell$, which may be of independent interest.