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Representation of right cyclically ordered groups as groups of automorphisms of a cyclically ordered set. (English) Zbl 1036.06501
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:
06F15Ordered groups