本原旗传递广义六边形和八边形
Primitive flag-transitive generalized hexagons and octagons
摘要:
设自同构群$G$作用在有限广义六边形或八边形$\cS$上是旗传递的,且作用在点集和线集上都是本原的。证明了$G$是几乎单群的Lie型,即$G$的基柱是单Chevalley群.
英文摘要:
Suppose that an automorphism group $G$ acts flag-transitively on a finite generalized hexagon or octagon $\cS$, and suppose that the action on both the point and line set is primitive. We show that $G$ is an almost simple group of Lie type, that is, the socle of $G$ is a simple Chevalley group.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。