论文标题
以$ 2 $ clup的Abelian排列组
On $2$-closed abelian permutation groups
论文作者
论文摘要
A permutation group $G\le\operatorname{Sym}(Ω)$ is said to be $2$-closed if no group $H$ such that $G<H\le\operatorname{Sym}(Ω)$ has the same orbits on $Ω\timesΩ$ as $G$.为$ 2 $ cluct的一个简单有效的电感标准是针对具有环状透射成分的Abelian置换组建立的。
A permutation group $G\le\operatorname{Sym}(Ω)$ is said to be $2$-closed if no group $H$ such that $G<H\le\operatorname{Sym}(Ω)$ has the same orbits on $Ω\timesΩ$ as $G$. A simple and efficient inductive criterion for the $2$-closedness is established for abelian permutation groups with cyclic transitive constituents.