Submission date: 10 January 2014.

Abstract:

We show that any simple group of Morley rank 4 must be a bad group with no proper definable subgroups of rank larger than 1. We also give an application to groups acting on sets of Morley rank 2.

Mathematics Subject Classification: 03C60, 20B22

Keywords and phrases:

Full text arXiv 1401.2373: pdf, ps.