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arXiv 2007.104642020-07math.CO

Embeddings of Ree unitals in a projective plane over a field

Gábor P. Nagy

英文摘要：

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.

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