Embeddings of generalized Latin squares in finite groups

作者：Chen H V; Chin A Y M^*

来源：Periodica Mathematica Hungarica, 2015, 71(2): 179-183.

DOI：10.1007/s10998-015-0099-7

• Generalized Latin square
• Embeddable in groups

Let n be a positive integer. A generalized Latin square of order n is an matrix such that the elements in each row and each column are distinct. The square is said to be commutative if the matrix is symmetric. Given , we show that for any , there exists a commutative generalized Latin square of order n with m distinct elements which is embeddable in a finite group. We also show that for and for any where , there exists a non-commutative generalized Latin square of order n with m distinct elements which is embeddable in a finite group.

• 出版日期2015-12