Graph covering projections arising from finite vector spaces over finite fields Original Research Article

It is well known that regular graph covering projections may be described by certain voltage assignments. Further investigations can be done if the voltage group is abelian. The purpose of this paper is to classify isomorphism of regular graph covering projections of a graph G that arise from finite abelian groups as voltage groups. In particular, if the voltage group is a finite-dimensional vector space over a finite field and the automorphism group is trivial, the corresponding isomorphism classes will be counted.