2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122600For $n>3$, 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.7 pagesGroup TheoryCombinatorics05B15text