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Paper   IPM / M / 8307
School of Mathematics
  Title:   Latin squares in a Cayley table
  Author(s):  Behr. Khosravi (Joint with Behn. Khosravi and Bah. Khosravi)
  Status:   Published
  Journal: Int. Math. Forum
  Vol.:  1
  Year:  2006
  Pages:   665-670
  Supported by:  IPM
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 mn 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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