The mutually normalizing regular subgroups of the holomorph of a cyclic group of prime power order

Let G=Cpn be a finite cyclic p-group, and let Hol(G) denote its holomorph. In this work, we find characterize the regular subgroups of that mutually normalize each other in symmetric group Sym(G). We represent as vertices graph, connect pair them by an edge when they other. The approach to construct local normalizing graph relies on theory gamma functions, final result will contain all information about compact form.Communicated Alberto Facchini