Submission date: 6 September 2019

Abstract:

The present survey aims at being a list of Conjectures and Problems in an area of model-theoretic algebra wide open for research, not a list of known results. To keep the text compact, it focuses on structures of finite Morley rank, although the same questions can be asked about other classes of objects, for example, groups definable in ω-stable and o-minimal theories. In many cases, answers are not known even in the classical category of algebraic groups over algebraically closed fields.

Survey, to appear in book Research Trends in Contemporary Logic

Mathematics Subject Classification: 20F11; 03C45

Keywords and phrases: groups of finite Morley rank, binding groups

Full text arXiv 1909.02813: pdf, ps.