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$_3$ on the projective plane.
- Title
- Recognizing PGL$_3$ via generic 4-transitivity
- Creators
- Tuna Altınel - Université Claude Bernard Lyon 1, FranceJoshua Wiscons - California State University, Sacramento, USA
- Academic Unit
- Mathematics/Statistics Department
- Publisher
- European Mathematical Society Publishing House
- Publication Details
- 2018
- Identifiers
- 99257883617001671; https://hdl.handle.net/20.500.12741/rep:8549; https://doi.org/10.4171/JEMS/792
- Language
- English