Published online by Cambridge University Press: 20 November 2018
This paper presents a study of right cyclically ordered groups (RCO-groups) and their relation to right ordered groups (RO-groups). Cyclically ordered groups (CO-groups) and their connection with ordered groups (O-groups) have been studied by Rieger in [7] and by Swierczkowski in [8]. While some of the properties of RCO-groups are analogous to the corresponding ones for COgroups, there are interesting exceptions.
Current Address: Department of Mathematics, University of Puerto Rico Mayagüez Campus, Mayagüez, Puerto Rico 00708
This paper is a part of the Author's M.Sc. thesis written at the University of Alberta under the supervision of Prof. A. H. Rhemtulla. The author wishes to thank Prof. A. H. Rhemtulla for suggesting the problem and for his guidance.