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On the distance between distinct group Latin squares. (English) Zbl 0912.05021
Summary: A. Drápal [Eur. J. Comb. 13, No. 5, 335-343 (1992; Zbl 0790.20038)] addressed the question of how far apart the multiplication tables of two groups can be? In this article we continue this investigation; in particular, we study the interaction between partial equalities in the multiplication tables of the two groups and their subgroup structure.

MSC:
05B15 Orthogonal arrays, Latin squares, Room squares
20D60 Arithmetic and combinatorial problems involving abstract finite groups
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