用四边形准则重构群乘法表
Reconstruction of group multiplication tables by quadrangle criterion
摘要：
对于$n>3$，每个至多含有$n-1$洞的$n\times n$部分Cayley矩阵都可以用四边形准则重构.此外，可以按给定顺序填充孔。在没有额外假设的情况下，这是最好的结果。讨论了其它类型乘法表的重构。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
