Recognizing PGL via generic 4-transitivity
Tuna Altınel
Université Claude Bernard Lyon 1, FranceJoshua Wiscons
California State University, Sacramento, USA
![Recognizing PGL$_3$ via generic 4-transitivity cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jems-volume-20-issue-6.png&w=3840&q=90)
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 PGL on the projective plane.
Cite this article
Tuna Altınel, Joshua Wiscons, Recognizing PGL via generic 4-transitivity. J. Eur. Math. Soc. 20 (2018), no. 6, pp. 1525–1559
DOI 10.4171/JEMS/792