TY - JFULL
AU - H. V. Chen and A. Y. M. Chin and S. Sharmini
PY - 2011/8/
TI - Some Constructions of Non-Commutative Latin Squares of Order n
T2 - International Journal of Mathematical and Computational Sciences
SP - 933
EP - 936
VL - 5
SN - 1307-6892
UR - https://publications.waset.org/pdf/14663
PU - World Academy of Science, Engineering and Technology
NX - Open Science Index 55, 2011
N2 - 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.
ER -