论文标题
两种传递组的生成对
The generating pairs of the 2-transitive groups
论文作者
论文摘要
给定有限的$ g $。生成对$（h，a）$ g $的$ g $，即$ h <g $和$ a \ in g $，使得$ \ langle a，h \ rangle = g $。在本文中，我们介绍了FF-Subgroup的定义，以表征对称组，交替组和投射组$ PSL（2，Q）$的生成对。这为J.André和J.Araújo和P. J. Cameron的开放问题提供了部分答案。
Given a finite group $G$. The generating pair $(H,a)$ of $G$, that is, $H<G$ and $a\in G$ such that $\langle a,H\rangle=G$. In this paper, we introduce the definition of FF-subgroup to characterize the generating pairs of the symmetric groups, alternating groups and projective groups $PSL(2,q)$. This gives a partial answer to an open problem of J. André and J. Araújo and P. J. Cameron.
