论文标题
在2级3组中
On 2-closures of rank 3 groups
论文作者
论文摘要
如果$ω$上的排列组$ g $在$ω\ timesω$上的诱导作用中完全有三个轨道，则称为排名3组。 $ω$上最大的置换组具有与$ω\ timesω$上的$ g $相同的轨道，称为$ g $的2级。给出了第3组组的2个段落的描述。特殊情况下，证明原始的一维仿射等级3置换率的2闭合组也足够大，也是仿射和一维。
A permutation group $G$ on $Ω$ is called a rank 3 group if it has precisely three orbits in its induced action on $Ω\times Ω$. The largest permutation group on $Ω$ having the same orbits as $G$ on $Ω\times Ω$ is called the 2-closure of $G$. A description of 2-closures of rank 3 groups is given. As a special case, it is proved that 2-closure of a primitive one-dimensional affine rank 3 permutation group of sufficiently large degree is also affine and one-dimensional.
