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2-ARC-TRANSITIVE REGULAR COVERS OF
$K_{n,n}-nK_{2}$ HAVING THE COVERING TRANSFORMATION GROUP 
$\mathbb{Z}_{p}^{3}$
- Part of
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- Journal:
- Journal of the Australian Mathematical Society / Volume 101 / Issue 2 / October 2016
- Published online by Cambridge University Press:
- 16 March 2016, pp. 145-170
- Print publication:
- October 2016
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- Article
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- You have access
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This paper contributes to the regular covers of a complete bipartite graph minus a matching, denoted
$K_{n,n}-nK_{2}$, whose fiber-preserving automorphism group acts 2-arc-transitively. All such covers, when the covering transformation group 
$K$ is either cyclic or 
$\mathbb{Z}_{p}^{2}$ with 
$p$ a prime, have been determined in Xu and Du [‘2-arc-transitive cyclic covers of 
$K_{n,n}-nK_{2}$’, J. Algebraic Combin.39 (2014), 883–902] and Xu et al. [‘2-arc-transitive regular covers of 
$K_{n,n}-nK_{2}$ with the covering transformation group 
$\mathbb{Z}_{p}^{2}$’, Ars. Math. Contemp.10 (2016), 269–280]. Finally, this paper gives a classification of all such covers for 
$K\cong \mathbb{Z}_{p}^{3}$ with 
$p$ a prime.
