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Compatible Tight Riesz Orders on the Group of Automorphisms of an 0-2-Homogeneous Set

Published online by Cambridge University Press:  20 November 2018

Gary Davis  and
Colin D. Fox
Gary Davis
Affiliation:
La Trobe University, Melbourne, Australia
Colin D. Fox
Affiliation:
La Trobe University, Melbourne, Australia
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Davis and Bolz (1974) considered, and to some extent classified, compatible tight Riesz order on the group of all order-preserving permutations of a totally ordered field. Glass (1976) carried out a more general study of compatible tight Riesz orders on ordered permutation groups and, in particular, showed the importance of determining compatible tight Riesz orders on O-primitive ordered permutation groups. However, the general problems of existence and classification of compatible tight Riesz orders on O-primitive ordered permutation groups remained open.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 5 , 01 October 1976 , pp. 1076 - 1081
Copyright
Copyright © Canadian Mathematical Society 1976

References

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