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Reconstruction of group multiplication tables by quadrangle criterion

Petr Vojtěchovský
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Abstract

For $n>3$, every $n\times n$ partial Cayley matrix with at most $n-1$ holes can be reconstructed by quadrangle criterion. Moreover, the holes can be filled in given order. Without additional assumptions, this is the best possible result. Reconstruction of other types of multiplication tables is discussed.

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Petr Vojtěchovský. 2007-01-24. Reconstruction of group multiplication tables by quadrangle criterion. https://arxiv.org/abs/math/0701697

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