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Embedding partial totally symmetric quasigroups
Authors:Darryn Bryant  Melinda Buchanan
Affiliation:Department of Mathematics, University of Queensland, Qld 4072, Australia
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.
Keywords:Embedding   Totally symmetric   Partial latin square   Extended triple system
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