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arXiv · 1505.08129

Recognizing $\operatorname{PGL}_3$ via generic $4$-transitivity

Tuna Altınel·Joshua Wiscons
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Abstract

We show that the only transitive and generically $4$-transitive action of a group of finite Morley rank on a set of Morley rank $2$ is the natural action of $\operatorname{PGL}_3$ on the projective plane.

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Tuna Altınel, Joshua Wiscons. 2015-05-29. Recognizing $\operatorname{PGL}_3$ via generic $4$-transitivity. https://arxiv.org/abs/1505.08129

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