2-Arc-transitive regular covers of complete graphs having the covering transformation group Z(p)(3)

Abstract

A family of 2-arc-transitive regular covers of a complete graph is investigated. In this paper, we classify all such covering graphs satisfying the following two properties: (1) the covering transformation group is isomorphic to the elementary abelian p-group Z(P)(3), and (2) the group of fiber-preserving automorphisms acts 2-arc-transitively. As a result, new infinite families of 2-arc-transitive graphs are constructed. (C) 2004 Elsevier Inc. All rights reserved.