论文标题
REE单元在田野上的投射平面中的嵌入
Embeddings of Ree unitals in a projective plane over a field
论文作者
论文摘要
我们表明，REE UNITAL $ \ MATHCAL {r}（q）$在投影平面上嵌入了字段$ f $时，并且仅当$ q = 3 $和$ \ \ \ mathbb {f} _8 $是$ f $的子场。在这种情况下，嵌入是独一无二的，归功于投影线性变换。除基本计算外，我们的证明还使用了简单REE组的最大亚组的分类。
We show that the Ree unital $\mathcal{R}(q)$ has an embedding in a projective plane over a field $F$ if and only if $q=3$ and $\mathbb{F}_8$ is a subfield of $F$. In this case, the embedding is unique up to projective linear transformations. Besides elementary calculations, our proof uses the classification of the maximal subgroups of the simple Ree groups.
