On Generators and Undirected Cayley graphs of Γ_1-Non-Deranged Permutation Groups

Abstract

A cayley graph  of a group , where S is the set of generators of  is a graph that has a vertex for each element of  and edge  for  and . In this work, we study the structural properties of undirected cayley graphs of the -non deranged permutation group ( ) obtained from a modulo p function (for  and  is prime), and established that the generators of  are not unique and also the undirected cayley graphs  is not simple.