JournalsjemsVol. 20, No. 6pp. 1525–1559

Recognizing PGL3_3 via generic 4-transitivity

  • Tuna Altınel

    Université Claude Bernard Lyon 1, France
  • Joshua Wiscons

    California State University, Sacramento, USA
Recognizing PGL$_3$ via generic 4-transitivity cover
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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 PGL3_3 on the projective plane.

Cite this article

Tuna Altınel, Joshua Wiscons, Recognizing PGL3_3 via generic 4-transitivity. J. Eur. Math. Soc. 20 (2018), no. 6, pp. 1525–1559

DOI 10.4171/JEMS/792