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Zbl 1036.06501
Zheleva, S.
Representation of right cyclically ordered groups as groups of automorphisms of a cyclically ordered set. (English)
[J] Math. Balk., New Ser. 11, No. 3-4, 291-294 (1997). ISSN 0205-3217

Summary: It was proved by P. M. Chon, P. F. Conrad and M. I. Zajtseva that the group $G$ is a right orderable group iff $G$ is 0-isomorphic to a subgroup of the automorphism group of an appropriate linearly ordered set. An analogous result was proved for lattice-ordered groups by W. Ch. Holland. In this paper an analogous result is proved for right cyclically ordered groups.

MSC 2000:: *06F15 Ordered groups

Keywords: automorphism group; right cyclically ordered groups; cyclically ordered set

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Zentralblatt MATH Berlin [Germany]