关于Cameron-Praeger猜想
On the Cameron-Praeger Conjecture
摘要：
这篇文章为证实Peter J. Cameron和Cheryl E.普拉格他们在1993年证明了不存在非平凡的区传递6-设计。我们证明了Cameron-Praeger猜想对于非平凡Steiner 6-设计的重要情形是成立的，即对于具有$λ=1$的6- $(v,k,λ)$设计，除了可能当群是具有$p=2$或3的$P\GammaL(2,p^e)$，并且$e$是奇素数幂.
英文摘要：
This paper takes a significant step towards confirming a long-standing and far-reaching conjecture of Peter J. Cameron and Cheryl E. Praeger. They conjectured in 1993 that there are no non-trivial block-transitive 6-designs. We prove that the Cameron-Praeger conjecture is true for the important case of non-trivial Steiner 6-designs, i.e. for 6-$(v,k,λ)$ designs with $λ=1$, except possibly when the group is $P\GammaL(2,p^e)$ with $p=2$ or 3, and $e$ is an odd prime power.
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。
