Olum, Fredrick OdondoIreri, KamutiMutie, KavilaOchieng’, Raymond Calvin2023-07-252023-07-252016Olum, F. O., Kamuti, I., Kavila, M., & Ochieng, R. C. ACTION OF THE CYCLIC GROUP ACTING ON THE DIAGONALS OF A REGULAR n–GON.2225-0522http://ir-library.ku.ac.ke/handle/123456789/26401articleThe main objective of this paper is to investigate the act ion of the cyclic group G=Cn on set,X , the diagonals of a regular - gon. We will first d iscuss the transitivity and primitivity of this action after which we will give useful results regarding the suborbits, subdegrees an d ranks of this action. It is worth mention ing that most of the results here have been given as Lemmas and Theorems.enArticle