Moufang sets generated by translations in unitals
نویسندگان
چکیده
We consider unitals of order $q$ with two points which are centers translation groups $q$. The group $G$ generated by these translations induces a Moufang set on the block joining points. show that is either $\operatorname{SL}(2,\mathbb{F}_q)$ (as in all classical and also some non-classical examples), or $\operatorname{PSL}(2,\mathbb{F}_q)$, Suzuki Ree group. Moreover, semi-regular outside special block.
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ژورنال
عنوان ژورنال: Journal of Combinatorial Designs
سال: 2021
ISSN: ['1520-6610', '1063-8539']
DOI: https://doi.org/10.1002/jcd.21813