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

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 ${\mathrm{PGL}}_3$ on the projective plane.

Cited by in corpus (1)

• Towards the recognition of ${\mathrm{PGL}}_n$ via a high degree of generic transitivity