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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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Main Authors: Chen, H.V., Chin, A.Y.M.
Format: Article
Published: 2015
Subjects:
Q Science (General)
QA Mathematics
Online Access:http://eprints.um.edu.my/16531/
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spelling 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
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic Q Science (General)
QA Mathematics
spellingShingle Q Science (General)
QA Mathematics
Chen, H.V.
Chin, A.Y.M.
Embeddings of generalized Latin squares in finite groups
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.
format Article
author Chen, H.V.
Chin, A.Y.M.
author_facet Chen, H.V.
Chin, A.Y.M.
author_sort 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
title_full_unstemmed Embeddings of generalized Latin squares in finite groups
title_sort embeddings of generalized latin squares in finite groups
publishDate 2015
url http://eprints.um.edu.my/16531/
_version_ 1643690296630837248
score 13.244368

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