论文标题

三个仿射SL(2,8) - 单元

Three Affine SL(2,8)-Unitals

论文作者

Möhler, Verena

论文摘要

$ \ operatotorName {sl}(2,q)$ - 单位是订单$ q $的单位,在某个块的补充中,定期操作$ \ permatatorname {sl}(2,q)$的定期操作。我们介绍了三个非经典仿射$ \ permatatorname {sl}(2,8)$ - 单位及其完整的自动形态组。这三个仿射单位中的每一个都可以完成至至少两个非同构单元,从而导致六个成对的非同构单位订单$ 8 $。

$\operatorname{SL}(2,q)$-unitals are unitals of order $q$ admitting a regular action of $\operatorname{SL}(2,q)$ on the complement of some block. We introduce three non-classical affine $\operatorname{SL}(2,8)$-unitals and their full automorphism groups. Each of those three affine unitals can be completed to at least two non-isomorphic unitals, leading to six pairwise non-isomorphic unitals of order $8$.

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