Lifting automorphisms along abelian regular coverings of graphs

TL;DR

This paper presents a criterion for determining when automorphisms of a graph can be lifted along abelian regular coverings, aiding in understanding symmetries in graph coverings with finite abelian groups.

Contribution

It introduces an effective criterion for lifting automorphisms along regular graph coverings with finite abelian groups, advancing the theory of graph symmetries.

Findings

Provides a practical method for lifting automorphisms

Applicable to coverings with any finite abelian group

Enhances understanding of graph symmetry structures

Abstract

This article proposes an effective criterion for lifting automorphisms along regular coverings of graphs, with the covering transformation group being any finite abelian group.