Chen, H.V. and Chin, A.Y.M.
(2015)
*Embeddings of generalized Latin squares in finite groups.*
Periodica Mathematica Hungarica , 71 (2).
pp. 179-183.
ISSN 0031-5303,

## 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.

Item Type: | Article |
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Funders: | UNSPECIFIED |

Uncontrolled Keywords: | Generalized Latin square; Embeddable in groups |

Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |

Depositing User: | Mrs. Siti Mawarni Salim |

Date Deposited: | 29 Sep 2016 02:08 |

Last Modified: | 29 Sep 2016 02:08 |

URI: | http://eprints.um.edu.my/id/eprint/16531 |

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