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Jordan groups and limits of betweenness relations
-
Meenaxi Bhattacharjee
and
Dugald Macpherson
Published/Copyright:
May 12, 2006
Abstract
A construction is given of an infinite primitive Jordan permutation group which preserves a ‘limit’ of betweenness relations. There is a previous construction due to Adeleke of a Jordan group of this kind. The main difference is that in this paper the group arises as the automorphism group of an 
relational structure. It is 2-transitive, 3-homogeneous, but not 3-transitive.
Received: 2004-06-16
Accepted: 2005-01-05
Published Online: 2006-05-12
Published in Print: 2006-01-01
© 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
