“School of Mathematics”
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| Paper IPM / M / 8307 |
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| Abstract: | |
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Let G be a finite group of order n ≥ 2 and T be the Cayley
table of G. Obviously T is a Latin square. In this paper we
study submatrices of T which are Latin squares. Let Lm(G)
where m ≤ n be the number of Latin squares of order m in
T. We compute Lm(G) and study some properties of such
submatrices. Also, we classify the Latin square of order m in
T and compute the number of each classes in some cases.
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