Submission date: 17 December 2008. Revised 25 March 2009.

Abstract:

From known examples of theories T obtained by Hrushovski-constructions and of infinite Morley rank, properties are extracted, that allow the collapse to a finite rank substructure. The results are used to give a more model-theoretic proof of the existence of the new uncountably categorical groups in [Bau2].

Mathematics Subject Classification: Primary: 03C65; Secondary: 03C50

Keywords and phrases: model theory, finite Morley rank, Hrushovski-constructions.

Full text: pdf (version of 17 Dec. 2008: pdf).