dc.contributor.author |
Pretorius, Lou M. (Lourens Martin)
|
|
dc.contributor.author |
Swanepoel, Konrad Johann
|
|
dc.date.accessioned |
2011-03-03T06:25:55Z |
|
dc.date.available |
2011-03-03T06:25:55Z |
|
dc.date.issued |
2011-07 |
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dc.description.abstract |
A Latin square of side n defines in a natural way a finite geometry on 3n points, with three lines of size n and n2 lines of size 3. A Latin square of side n with a transversal similarly defines a finite geometry on 3n+1 points, with three lines of size n, n2−n lines of size 3, and n concurrent lines of size 4. A collection of k mutually
orthogonal Latin squares defines a geometry on kn points, with k lines of size n and n2 lines of size k. Extending the work of Bruen and Colbourn [A.A. Bruen, C.J. Colbourn, Transversal designs
in classical planes and spaces, J. Combin. Theory Ser. A 92 (2000) 88–94], we characterise embeddings of these finite geometries into
projective spaces over skew fields. |
en |
dc.identifier.citation |
L.M. Pretorius, K.J. Swanepoel, Embedding a Latin square with transversal into a projective space, Journal of Combinatorial Theory, Series A, vol. 118, no. 5, pp. 1674-1683 (2011) doi:10.1016/j.jcta.2011.01.013 |
en_US |
dc.identifier.issn |
0097-3165 |
|
dc.identifier.other |
10.1016/j.jcta.2011.01.013 |
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dc.identifier.uri |
http://hdl.handle.net/2263/15954 |
|
dc.language.iso |
en |
en_US |
dc.publisher |
Elsevier |
en_US |
dc.rights |
© 2010 Elsevier Inc. All rights reserved. |
en_US |
dc.subject |
Latin squares and rectangles |
en |
dc.subject |
Desarguesian projective plane |
en |
dc.subject |
Finite geometry |
en |
dc.subject |
Transversal |
en |
dc.subject |
MOLS |
en |
dc.subject.lcsh |
Magic squares |
en |
dc.subject.lcsh |
Projective spaces |
en |
dc.title |
Embedding a Latin square with transversal into a projective space |
en |
dc.type |
Postprint Article |
en |