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Meenaxi Bhattacharjee, Dugald Macpherson

Jordan groups and limits of betweenness relations

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.

Journal of Group Theory, Walter de Gruyter

Print ISSN: 1433-5883
Volume: 9, 01/2006
Pages: 59 - 94

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