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Abstract
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.
ACKNOWLEDGMENT
The idea behind these examples evolved from the joint work with Peter M. Neumann and H. D. Macpherson [Citation1-4]. This work was done while the author was sponsored by the British Science and Engineering Research Council. The author is very grateful for their support, and also thanks the Mathematical Institute, University of Oxford, United Kingdom for hosting him.
Notes
Communicated by D. Macpherson.