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Cayley digraphs and lexicographic product |
PENG Xing, WANG Dianjun |
Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China; |
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Abstract In this paper, we prove that a Cayley digraph Γ = Cay (G, S) is a nontrivial lexicographical product if and only if there is a nontrivial subgroup H of G such that S\H is a union of some double cosets of H in G.
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Issue Date: 05 September 2007
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