Submission date: 21 June 2016. Revised version 11 July 2016.

Abstract:

There exists no bad group in the sense of Gregory Cherlin, namely any simple group of Morley rank 3 is isomorphic to PSL(2,K) for an algebraically closed field K.

Mathematics Subject Classification: 20F11

Keywords and phrases: Groups of finite Morley rank, Bad groups, Projective space

Full text: arXiv 1607.02994: pdf, ps. (Version of 21 June 2016: pdf, dvi, ps).