论文标题
在$ l_4（q）$和$ u_4（q）$的封面中的元素订单上
On element orders in covers of $L_4(q)$ and $U_4(q)$
论文作者
论文摘要
假设$ l $是有限的简单组之一$ psl_4（q）$或$ psu_4（q）$和$ l $在矢量空间$ w $上表现为特征$ q $的字段。我们证明，$ W $和$ L $的天然半领产品包含一个元素，其订单与$ L $的任何元素的订单不同，从而回答了Kourovka笔记本的问题14.60和17.73（a）。
Suppose that $L$ is one of the finite simple groups $PSL_4(q)$ or $PSU_4(q)$ and $L$ acts on a vector space $W$ over a field whose characteristic divides $q$. We prove that the natural semidirect product of $W$ and $L$ contains an element whose order differs from the order of any element of $L$, thus answering questions 14.60 and 17.73 (a) of the Kourovka Notebook.
