一类奇异融合系统的块奇异性
Block-Exoticity of a Family of Exotic Fusion Systems
摘要：
我们证明了$G_2(p)$的Sylow $p$ -子群上的奇异融合系统$\mathcal F$对于奇素数$p$与$\mathcal O_p(\mathcal F)=1$是块奇异的.这证明了每个奇异的融合系统是块奇异的猜想。我们证明了两个减少定理块可实现的融合系统。
英文摘要：
We prove that each exotic fusion system $\mathcal F$ on a Sylow $p$-subgroup of $G_2(p)$ for an odd prime $p$ with $\mathcal O_p(\mathcal F)=1$ is block-exotic. This gives evidence for the conjecture that each exotic fusion system is block-exotic. We prove two reduction theorems for block-realisable fusion systems.
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。
