论文标题
$ f_4(q)$的最大摩尔摩尔摩尔摩尔棒便液的最小补充剂
Minimal supplements in normalizers of maximal tori of $F_4(q)$
论文作者
论文摘要
让$ g $成为有限的谎言类型$ f_4 $,weyl oft $ w $。对于每一个最大的圆环$ t $ $ g $,我们都会发现其代数标准器$ n(g,t)$的$ t $补充的最低订单。特别是,我们获得了所有最大托里,并在$ n(g,t)$中获得补充。假设$ t $对应于$ w $的元素$ w $。我们发现$ W $至$ n(g,t)$的升降机的最低订单。
Let $G$ be a finite group of Lie type $F_4$ with the Weyl group $W$. For every maximal torus $T$ of $G$, we find the minimal order of a supplement to $T$ in its algebraic normalizer $N(G,T)$. In particular, we obtain all maximal tori having complements in $N(G,T)$. Assume that $T$ corresponds to an element $w$ of $W$. We find the minimal order of lifts of $w$ to $N(G,T)$.