Embeddings of generalized Latin squares in finite groups

Authors

H.V. Chen
A.Y.M. Chin

Document Type

Article

Publication Date

1-1-2015

Abstract

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.

Keywords

Generalized Latin square, Embeddable in groups

Publication Title

Periodica Mathematica Hungarica

Volume

71

Issue

2