Submission date: 12 February 2020

Abstract:

We show that the geometry associated to certain non-split sharply 2-transitive groups does not contain a proper projective plane. For a sharply 2-transitive group of finite Morley rank we improve known rank inequalities for this geometry and conclude that a sharply 2-transitive group of Morley rank 6 must be of the form K ⋊ K^* for some algebraically closed field $K$.

Mathematics Subject Classification: 20B22, 03C60

Keywords and phrases:

Full text arXiv 2002.05187: pdf, ps.