论文标题
算术和谎言理论中的单调表示
Unisingular representations in arithmetic and Lie theory
论文作者
论文摘要
令G为GL（V）的子组，其中V是有限的尺寸矢量空间，在特征P> 0的有限场上。如果G d det（g-1）= 0，则我们称为G GL（V）的定点子组。通过算术和线性群体理论的问题并行动机，我们将SP_8（2）的所有不可还原的定点亚组分类，并给出了新的无限无限的不可约束的固定点亚组SP_M（2），用于各种言语类型组的各组。
Let G be a subgroup of GL(V), where V is a finite dimensional vector space over a finite field of characteristic p >0. If det(g-1) = 0 for all g \in G then we call G a fixed-point subgroup of GL(V). Motivated in parallel by questions in arithmetic and linear group theory, we classify all irreducible fixed-point subgroups of Sp_8(2) and give new infinite series of irreducible fixed-point subgroups of symplectic groups Sp_m(2) for various m arising from certain representations of groups of Lie type.
