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Quasi-finitely axiomatizable groups and groups which are prime models
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F Oger
Published/Copyright:
May 12, 2006
Abstract
In [], 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.
Received: 2004-07-08
Revised: 2005-01-27
Published Online: 2006-05-12
Published in Print: 2006-01-26
© Walter de Gruyter
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Articles in the same Issue
- A generalization of the Lyndon–Hochschild–Serre spectral sequence with applications to group cohomology and decompositions of groups
- Reduction theorems for Clifford classes
- Finite groups with NE-subgroups
- Jordan groups and limits of betweenness relations
- Quasi-finitely axiomatizable nilpotent groups
- Quasi-finitely axiomatizable groups and groups which are prime models
- The structure of Bell groups
- Groups with bounded verbal conjugacy classes
Articles in the same Issue
- A generalization of the Lyndon–Hochschild–Serre spectral sequence with applications to group cohomology and decompositions of groups
- Reduction theorems for Clifford classes
- Finite groups with NE-subgroups
- Jordan groups and limits of betweenness relations
- Quasi-finitely axiomatizable nilpotent groups
- Quasi-finitely axiomatizable groups and groups which are prime models
- The structure of Bell groups
- Groups with bounded verbal conjugacy classes
