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arxiv: 1505.08129 · v1 · pith:24XEF3Q5new · submitted 2015-05-29 · 🧮 math.LO · math.GR

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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