On Irregular Infinite Jordan Groups

Two constructions are given of unfamiliar examples of infinite Jordan permutation groups. The examples are important to the classification of all infinite primitive Jordan groups. It is also shown that in the first example, the group has infinitely many orbits on triples.

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Bibliographic Details
Published in:Communications in algebra 2013-04, Vol.41 (4), p.1514-1546
Main Author: Adeleke, S. A.
Format: Article
Language:English
Subjects:
Algebra
Betwenness relations
C-relation
D-relation
Jordan group
Semilinear order
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Description
Summary:Two constructions are given of unfamiliar examples of infinite Jordan permutation groups. The examples are important to the classification of all infinite primitive Jordan groups. It is also shown that in the first example, the group has infinitely many orbits on triples.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2011.643843