2-ARC-TRANSITIVE REGULAR COVERS OF Kn,n - nK2 HAVING THE COVERING TRANSFORMATION GROUP Zp3

This paper contributes to the regular covers of a complete bipartite graph minus a matching, denoted K-n,K-n - nK(2), whose fiber-preserving automorphism group acts 2-arc-transitively. All such covers, when the covering transformation group K is either cyclic or Z(p)(3) with p a prime, have been determined in Xu and Du ['2-arc-transitive cyclic covers Of K-n,K-n - nK(2)', J. Algebraic Combin. 39 (2014), 883-902] and Xu et al. ['2-arc-transitive regular covers of K-n,K-n - nK(2) with the covering transformation group Z(p)(2)', Ars. Math. Contemp. 10 (2016), 269-280]. Finally, this paper gives a classification of all such covers for K congruent to Z(p)(3) with p a prime.