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2-arc-transitive regular covers of complete graphs having the covering transformation group \(Z^{3}_{p}\) - MaRDI portal

2-arc-transitive regular covers of complete graphs having the covering transformation group \(Z^{3}_{p}\) (Q707024)

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scientific article; zbMATH DE number 2132709
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English
2-arc-transitive regular covers of complete graphs having the covering transformation group \(Z^{3}_{p}\)
scientific article; zbMATH DE number 2132709

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    2-arc-transitive regular covers of complete graphs having the covering transformation group \(Z^{3}_{p}\) (English)
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    9 February 2005
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    The authors classify \(2\)-arc-transitive regular covers of complete graphs such that the covering transformation group of the covers is isomorphic to \(Z_p\times Z_p\times Z_p\) for a prime \(p\) and such that the group of fibre-preserving transformations is \(2\)-arc-transitive. As a by-product, new infinite families of \(2\)-arc-transitive graphs are obtained
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