论文标题
Moufang集由单元中的翻译产生
Moufang sets generated by translations in unitals
论文作者
论文摘要
我们考虑订单$ Q $的单一单位，其中有两个点，这些点是订单$ Q $的翻译组的中心。这些翻译产生的组$ g $引起了加入两个点的块上设置的moufang。我们表明，$ g $是$ \ operatoTorname {sl}（2，\ mathbb {f} _q）$（如所有经典单位词，在某些非古典示例中一样），或$ \ operatoratorname {psl}（2，2，2，2，\ mathbb {f} _q）_q）$或suzuki组组或suzuki组。此外，$ g $在特殊区块之外是半规则的。
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.
