Embeddings of generalized Latin squares in finite 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 orde...
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my.um.eprints.165312016-09-29T02:08:54Z http://eprints.um.edu.my/16531/ Embeddings of generalized Latin squares in finite groups Chen, H.V. Chin, A.Y.M. Q Science (General) QA Mathematics 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. 2015 Article PeerReviewed 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 DOI: 10.1007/s10998-015-0099-7 |
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Q Science (General) QA Mathematics Chen, H.V. Chin, A.Y.M. Embeddings of generalized Latin squares in finite groups |
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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. |
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Chen, H.V. Chin, A.Y.M. |
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Chen, H.V. Chin, A.Y.M. |
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Chen, H.V. |
title |
Embeddings of generalized Latin squares in finite groups |
title_short |
Embeddings of generalized Latin squares in finite groups |
title_full |
Embeddings of generalized Latin squares in finite groups |
title_fullStr |
Embeddings of generalized Latin squares in finite groups |
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Embeddings of generalized Latin squares in finite groups |
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embeddings of generalized latin squares in finite groups |
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2015 |
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http://eprints.um.edu.my/16531/ |
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1643690296630837248 |
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13.18916 |