Action of the Cyclic Group Cn Acting on the Diagonals of a Regular N–Gon

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Date
2016
Authors
Olum, Fredrick Odondo
Ireri, Kamuti
Mutie, Kavila
Ochieng’, Raymond Calvin
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Publisher
iiste
Abstract
The 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.
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Olum, F. O., Kamuti, I., Kavila, M., & Ochieng, R. C. ACTION OF THE CYCLIC GROUP ACTING ON THE DIAGONALS OF A REGULAR n–GON.