%0 Journal Article %A H. V. Chen and A. Y. M. Chin and S. Sharmini %D 2011 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 55, 2011 %T Some Constructions of Non-Commutative Latin Squares of Order n %U https://publications.waset.org/pdf/14663 %V 55 %X Let n be an integer. We show the existence of at least three non-isomorphic non-commutative Latin squares of order n which are embeddable in groups when n ≥ 5 is odd. By using a similar construction for the case when n ≥ 4 is even, we show that certain non-commutative Latin squares of order n are not embeddable in groups. %P 934 - 936