论文标题
产品作用引起的本地S-ARC传递图
Locally s-arc-transitive graphs arising from product action
论文作者
论文摘要
我们研究了由准产品动作（PA）引起的本地$ S $ -ARC传递图。我们证明，对于任何本地$（g，2）$ - 弧线传递图，$ g $在两个$ g $ -orbits of typa typa type pa typer typer typer typer typer typer typer typer typer the typer the the $ g $ - $ g $上都不会对任何一个轨道上的作用。此外，我们构建了PA类型的本地$ S $ -S $ -ARC传递图的第一个示例，这些示例不是PA类型的$ S $ -S $ -ARC-ARC传播图的标准双封面，回答了这些图形的存在问题。
We study locally $s$-arc-transitive graphs arising from the quasiprimitive product action (PA). We prove that, for any locally $(G,2)$-arc-transitive graph with $G$ acting quasiprimitively with type PA on both $G$-orbits of vertices, the group $G$ does not act primitively on either orbit. Moreover, we construct the first examples of locally $s$-arc-transitive graphs of PA type that are not standard double covers of $s$-arc-transitive graphs of PA type, answering the existence question for these graphs.
