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Bibliographic Details
Main Authors: Chen, Haimiao, Shen, Hao
Format: Preprint
Published: 2013
Subjects:
Online Access:https://arxiv.org/abs/1303.3794
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Table of Contents:
  • Given a finite connected simple graph $Γ$, and a subgroup $G$ of its automorphism group, a general method for finding all finite abelian regular coverings of $Γ$ that admit a lift of each element of $G$ is developed. As an application, all connected arc-transitive abelian regular coverings of the Petersen graph are classified up to isomorphism.