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Answers to questions by Dénes on Latin power sets

Abstract:

The ith power, Li, of a Latin square L is that matrix obtained by replacing each row permutation in L by its ith power. A Latin power set of cardinality m ≥ 2 is a set of Latin squares {A, A2, A3, … , Am}. We prove some basic properties of Latin power sets and use them to resolve questions asked by Dénes and his various collaborators.

Dénes has used ...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1006/eujc.2001.0518

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Institution:
University of Oxford
Oxford college:
Christ Church
Department:
Mathematical,Physical & Life Sciences Division
Publisher:
Elsevier B.V. Publisher's website
Journal:
European Journal of Combinatorics Journal website
Volume:
22
Issue:
7
Pages:
1009-1020
Publication date:
2001-10-05
DOI:
ISSN:
0195-6698
URN:
uuid:78a3c1d3-2927-4ee6-ad16-a26b66380af3
Local pid:
ora:8505

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