RECOGNIZING PGL 3 VIA GENERIC 4-TRANSITIVITY

Tuna Altinel (1) , Joshua Wiscons (2)

1 AGL - Algèbre, géométrie, logique
2 Hamilton College

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.

Domaines: Logique [math.LO]; Théorie des groupes [math.GR]

Tuna Altinel, Joshua Wiscons. RECOGNIZING PGL 3 VIA GENERIC 4-TRANSITIVITY. 2015. ⟨hal-01158203⟩