Geodesic
On Commutativity of Quasi-Minimal Groups
Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 31 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We investigate if every quasi-minimal group is abelian, and give a positive answer for a quasi-minimal pure group having a $\emptyset$-definable partial order with uncountable chains. We also relate two properties of a complete theory in a countable language: the existence of a quasi-minimal model and the existence of a strongly regular type. As a consequence we derive the equivalence of conjectures on commutativity of quasi-minimal groups and commutativity of regular groups.
DOI : 10.2298/PIM150510030M
Classification : 03C45, 03C60, 20A15
Keywords: quasi-minimal group, strongly regular type 
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Slavko Moconja. On Commutativity of Quasi-Minimal Groups. Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 31 . doi : 10.2298/PIM150510030M. http://geodesic.mathdoc.fr/articles/10.2298/PIM150510030M/

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