Determining latin squares

Reference no: EM13135078

1) Show that for n less than or equal to 4, any Latin square of order n can be obtained from the multiplication table of a group by permuting rows, columns, and symbols. Show that this is not true for n=5

2) If n is an order for which mutually orthogonal Latin squares exist, does every Latin square of order n have an orthogonal partner?

Reference no: EM13135078

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