Self-embeddings of cyclic and projective Steiner quasigroups

Donovan, Diane M.; Grannell, Mike J.; Griggs, Terry S.; Lefevre, James G. and McCourt, Thomas (2011). Self-embeddings of cyclic and projective Steiner quasigroups. Journal of Combinatorial Designs, 19(1), pp. 16–27.

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DOI (Digital Object Identifier) Link:	http://dx.doi.org/doi:10.1002/jcd.20258
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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.

Item Type:	Journal Article
Copyright Holders:	2010 Wiley Periodicals, Inc.
ISSN:	1520-6610
Keywords:	complete tripartite graph; embedding; Latin square; Steiner quasigroup; Steiner triple system
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	29169
Depositing User:	Mike Grannell
Date Deposited:	26 Jul 2011 15:28
Last Modified:	30 Nov 2012 10:37
URI:	http://oro.open.ac.uk/id/eprint/29169

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