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

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

Tuna Altınel and Joshua Wiscons
05/29/2015

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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