Recognizing operatorname{PGL}₃ via generic 4-transitivity
classification
🧮 math.LO
math.GR
keywords
actionmorleyoperatornameranktransitivefinitegenericgenerically
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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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