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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| Format: | Article |
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2015
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| _version_ | 1796947065902727168 |
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| author | Chen, H.V. Chin, A.Y.M. |
| author_facet | Chen, H.V. Chin, A.Y.M. |
| author_sort | Chen, H.V. |
| collection | UM |
| description | 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. |
| first_indexed | 2024-03-06T05:41:15Z |
| format | Article |
| id | um.eprints-16531 |
| institution | Universiti Malaya |
| last_indexed | 2024-03-06T05:41:15Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Q Science (General) QA Mathematics Chen, H.V. Chin, A.Y.M. Embeddings of generalized Latin squares in finite groups |
| title | 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 |
| title_full_unstemmed | Embeddings of generalized Latin squares in finite groups |
| title_short | Embeddings of generalized Latin squares in finite groups |
| title_sort | embeddings of generalized latin squares in finite groups |
| topic | Q Science (General) QA Mathematics |
| work_keys_str_mv | AT chenhv embeddingsofgeneralizedlatinsquaresinfinitegroups AT chinaym embeddingsofgeneralizedlatinsquaresinfinitegroups |