Reconstruction of group multiplication tables by quadrangle criterion

Details Reconstruction of group multiplication tables by quadrangle criterion Reconstruction of group multiplication tables by quadrangle criterion

2007-01-24

arxiv.org/abs/math/0701697v1

European Journal of Combinatorics 22 (2001), no. 8, 1159-1164

Mathematics

Group Theory

7 pages

Scientific paper

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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