论文标题
排名三个天生的传递排列组和相关的$ 2 $传递组
Rank three innately transitive permutation groups and related $2$-transitive groups
论文作者
论文摘要
原始，准二元和天生的置换置换组的集合可以分别被视为有限透射置换组的构件，并且是抽象有限基团的组成因子的类似物。本文将有限原始和准二级群组的分类最多扩展到有限的天生瞬时群体的分类。新示例包括三个无限家庭和三个零星的例子。此分类的必要步骤是确定有限的几乎简单的$ 2 $传递组，称为特殊对。
The sets of primitive, quasiprimitive, and innately transitive permutation groups may each be regarded as the building blocks of finite transitive permutation groups, and are analogues of composition factors for abstract finite groups. This paper extends classifications of finite primitive and quasiprimitive groups of rank at most $3$ to a classification for the finite innately transitive groups. The new examples comprise three infinite families and three sporadic examples. A necessary step in this classification was the determination of certain configurations in finite almost simple $2$-transitive groups called special pairs.
