论文标题
在有限类型的有限群体中分裂最大圆环的标准器
On splitting of the normalizer of a maximal torus in finite groups of Lie type
论文作者
论文摘要
让$ g $是有限的谎言类型和$ t $ $ g $的$ t $。在本文中，我们完成了有关其代数范围的$ n（g，t）$的圆环$ t $存在的问题的研究。事实证明，\ {g_2（q），{}^2g_2（q），{}^3D_4（q）\} $的每个最大圆环在其代数范围中具有补充。还考虑了其余扭曲的古典组$ {}^2a_n（q）$和$ {}^2d_n（q）$。
Let $G$ be a finite group of Lie type and $T$ a maximal torus of $G$. In this paper we complete the study of the question of the existence of a complement for the torus $T$ in its algebraic normalizer $N(G,T)$. It is proved that every maximal torus of the group $G\in\{G_2(q), {}^2G_2(q), {}^3D_4(q)\}$ has a complement in its algebraic normalizer. The remaining twisted classical groups ${}^2A_n(q)$ and ${}^2D_n(q)$ are also considered.
