论文标题

以$ 2 $ clup的Abelian排列组

On $2$-closed abelian permutation groups

论文作者

Churikov, Dmitry, Ponomarenko, Ilia

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.

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