Self‐embeddings of cyclic and projective Steiner quasigroups |
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| Authors: | Diane M Donovan Mike J Grannell Terry S Griggs James G Lefevre Thomas McCourt |
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| Institution: | 1. Centre for Discrete Mathematics and Computing, University of Queensland, St Lucia 4072, Australia;2. Department of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes MK7 6AA, United Kingdom |
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| Abstract: | It is shown that for every admissible order v for which a cyclic Steiner triple system exists, there exists a biembedding of a cyclic Steiner quasigroup of order v with a copy of itself. Furthermore, it is shown that for each n≥2 the projective Steiner quasigroup of order 2n?1 has a biembedding with a copy of itself. © 2010 Wiley Periodicals, Inc. J Combin Designs 19:16‐27, 2010 |
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| Keywords: | complete tripartite graph embedding Latin square Steiner quasigroup Steiner triple system |
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