由酉平移生成的Moufang集
Moufang sets generated by translations in unitals
AI总结：
本文研究带两个q阶平移群中心的q阶unital，证明其平移生成群在两点连块上诱导Moufang集，且该群为SL(2,F_q)、PSL(2,F_q)、Suzuki群或Ree群，在特殊块外半正则。
摘要：
我们研究具有两个阶为$q$的平移群中心的$q$阶unital（酉设计）。由这些平移生成的群$G$在连接这两个点的块上诱导出一个Moufang集。我们证明$G$要么是$\text{SL}(2,\text{F}_q)$（如所有经典unital及一些非经典例子中那样），要么是$\text{PSL}(2,\text{F}_q)$，要么是Suzuki群或Ree群。此外，$G$在特殊块外是半正则的。
英文摘要：
We consider unitals of order $q$ with two points which are centers of translation groups of order $q$. The group $G$ generated by these translations induces a Moufang set on the block joining the two points. We show that $G$ is either $\operatorname{SL}(2,\mathbb{F}_q)$ (as in all classical unitals and also in some non-classical examples), or $\operatorname{PSL}(2,\mathbb{F}_q)$, or a Suzuki or a Ree group. Moreover, $G$ is semi-regular outside the special block.
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。
