Abstract:
The main objective of this paper is to investigate the action of the cyclic group on set, , the
diagonals of a regular -gon. We will first discuss the transitivity and primitivity of this action, after which we
will give useful results regarding the suborbits, subdegrees and ranks of this action. It is worth mentioning that
most of the results here have been given as Lemmas and Theorems.
Description:
"The main objective of this paper is to investigate the action of the cyclic group G = C_n on set, X , the
diagonals of a regular n -gon. We will first discuss the transitivity and primitivity of this action, after which we
will give useful results regarding the suborbits, subdegrees and ranks of this action. It is worth mentioning that
most of the results here have been given as Lemmas and Theorems"
