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.

DOI: https://doi.org/10.1002/jcd.20258

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.

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About

• Item ORO ID
• 29169
• Item Type
• Journal Item
• ISSN
• 1520-6610
• Keywords
• complete tripartite graph; embedding; Latin square; Steiner quasigroup; Steiner triple system
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2010 Wiley Periodicals, Inc.
• Depositing User
• Mike Grannell