Open Science Research Excellence

S Sharmini

Publications

1

Publications

1
14663
Some Constructions of Non-Commutative Latin Squares of Order n
Abstract:
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.
Keywords:
group, Latin square, embedding.