Quasi-finitely axiomatizable groups and groups which are prime models
In [6], F. Oger and G. Sabbagh prove that a finitely generated nilpotent group is quasi-finitely axiomatizable if and only if it is a prime model of its theory. Here we investigate the relations between these two properties for larger classes of groups.
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| Veröffentlicht in: | Journal of group theory 2006-01, Vol.9 (1), p.107-116 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In [6], F. Oger and G. Sabbagh prove that a finitely generated nilpotent group is quasi-finitely axiomatizable if and only if it is a prime model of its theory. Here we investigate the relations between these two properties for larger classes of groups. |
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| ISSN: | 1433-5883 1435-4446 |
| DOI: | 10.1515/JGT.2006.006 |