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

DOI

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 
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
@article{10_2298_PIM150510030M,
     author = {Slavko Moconja},
     title = {On {Commutativity} of {Quasi-Minimal} {Groups}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {31 },
     year = {2015},
     volume = {_N_S_98},
     number = {112},
     doi = {10.2298/PIM150510030M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM150510030M/}
}
TY  - JOUR
AU  - Slavko Moconja
TI  - On Commutativity of Quasi-Minimal Groups
JO  - Publications de l'Institut Mathématique
PY  - 2015
SP  - 31 
VL  - _N_S_98
IS  - 112
UR  - http://geodesic.mathdoc.fr/articles/10.2298/PIM150510030M/
DO  - 10.2298/PIM150510030M
LA  - en
ID  - 10_2298_PIM150510030M
ER  - 
%0 Journal Article
%A Slavko Moconja
%T On Commutativity of Quasi-Minimal Groups
%J Publications de l'Institut Mathématique
%D 2015
%P 31 
%V _N_S_98
%N 112
%U http://geodesic.mathdoc.fr/articles/10.2298/PIM150510030M/
%R 10.2298/PIM150510030M
%G en
%F 10_2298_PIM150510030M

Cité par Sources :