H. V. Chen and A. Y. M. Chin and S. Sharmini
Some Constructions of NonCommutative Latin Squares of Order n
934 - 936
2011
5
7
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/14663
https://publications.waset.org/vol/55
World Academy of Science, Engineering and Technology
Let n be an integer. We show the existence of at least
three nonisomorphic noncommutative 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 noncommutative Latin squares of order n are not embeddable
in groups.
Open Science Index 55, 2011