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Atomless Lattice-Ordered Groups

Published online by Cambridge University Press:  20 November 2018

A. M. W. Glass
A. M. W. Glass*
Affiliation:
Department of Mathematics and Statistics, Bowling Green State University Bowling Green, Ohio 43403-0221 U.S.A.
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Abstract

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We show the existence of atomless lattice-ordered groups which have doubly transitive representations. In so doing, we answer a question of M. Giraudet from 1981 [4].

Keywords

06F15

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 2 , 01 June 1994 , pp. 219 - 221
Copyright
Copyright © Canadian Mathematical Society 1994

References

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3. Glass, A. M. W. and Holland, W. C., Lattice-ordered Groups: Advances and Techniques, Kluwer Acad. Publ., (eds. A. M. W. Glass and W. C. Holland), Dordrecht, The Netherlands, 1989.Google Scholar
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5. Pierce, K. R., Amalgamations of lattice ordered groups, Trans. Amer. Math. Soc. 172(1972), 249–260.Google Scholar