Recognizing PGL₃ via generic 4-transitivity

2015/05/29 by Tuna Altınel, Altınel, Tuna, Joshua Wiscons +1 · 1 citation
Mathematics · #03C60 #20B22 #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.1505.08129

openalex publication_date 2015/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 PGL₃ on the projective plane.

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