Abstract
In this paper we introduce a ternary operation with certain qualities on a set ofk−1 elements and prove that it generates a biplane withk points on a block, and also that any (finite) biplane withk points on a block gives rise to at least one algebraic structure with the above qualities.
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References
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Kovachev, K. A ternary structure for biplanes. Arch. Math 57, 204–208 (1991). https://doi.org/10.1007/BF01190008
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DOI: https://doi.org/10.1007/BF01190008