{"title":"Some Constructions of Non-Commutative Latin Squares of Order n","authors":"H. V. Chen, A. Y. M. Chin, S. Sharmini","country":null,"institution":"","volume":55,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":934,"pagesEnd":937,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/14663","abstract":"Let n be an integer. We show the existence of at least\r\nthree non-isomorphic non-commutative Latin squares of order n\r\nwhich are embeddable in groups when n \u2265 5 is odd. By using a\r\nsimilar construction for the case when n \u2265 4 is even, we show that\r\ncertain non-commutative Latin squares of order n are not embeddable\r\nin groups.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 55, 2011"}