Grannell, M. J. and Knor, M.
Biembedding Abelian groups with mates having transversals.
Journal of Combinatorial Designs, 20(2),
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A certain recursive construction for biembeddings of Latin squares has played a substantial role in generating large numbers of nonisomorphic triangular embeddings of complete graphs. In this paper we prove that, except for the groups and , each Latin square formed from the Cayley table of an Abelian group appears in a biembedding in which the second Latin square has a transversal. Such biembeddings may then be freely used as ingredients in the recursive construction.
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