Submission date: 7 July 2017

Abstract:

By exploiting the geometry of involutions in N_\circ^\circ-groups of finite Morley rank, we show that any simple group of Morley rank 5 is a bad group all of whose proper definable connected subgroups are nilpotent of rank at most 2. The main result is then used to catalog the nonsoluble connected groups of Morley rank 5.

Mathematics Subject Classification: 20F11

Keywords and phrases:

Full text arXiv 1707.02057: pdf, ps.