Embedding partial totally symmetric quasigroups |
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Authors: | Darryn Bryant Melinda Buchanan |
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Affiliation: | Department of Mathematics, University of Queensland, Qld 4072, Australia |
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Abstract: | This paper concerns the embedding problem for partial totally symmetric quasigroups. For all n?9, it is shown that any partial totally symmetric quasigroup of order n can be embedded in a totally symmetric quasigroup of order v if v is even and v?2n+4, and this is the best possible such inequality. |
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Keywords: | Embedding Totally symmetric Partial latin square Extended triple system |
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