Recognizing $\operatorname{PGL}_3$ via generic $4$-transitivity
Logic
2015-06-01 v1 Group Theory
Abstract
We show that the only transitive and generically -transitive action of a group of finite Morley rank on a set of Morley rank is the natural action of on the projective plane.
Cite
@article{arxiv.1505.08129,
title = {Recognizing $\operatorname{PGL}_3$ via generic $4$-transitivity},
author = {Tuna Altınel and Joshua Wiscons},
journal= {arXiv preprint arXiv:1505.08129},
year = {2015}
}