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arXiv 0704.2845math.COmath.GR
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本原旗传递广义六边形和八边形

Primitive flag-transitive generalized hexagons and octagons

Csaba Schneider, Hendrik Van Maldeghem

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。

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