Submission date: 16 June 2008.

Abstract:

We lay down the fundations of the theory of groups of finite Morley rank in which local subgroups are solvable and we proceed to the local analysis of these groups. We prove a main Uniqueness Theorem, analogous to the Bender method in finite group theory, and derive its corollaries. We also consider homogeneous cases and study torsion. 

Mathematics Subject Classification: Primary 20E25; Secondary 03C60

Keywords and phrases:

Full text: (arXiv: pdf, ps).