Self-embeddings of cyclic and projective Steiner quasigroups

DM Donovan, MJ Grannell, TS Griggs, JG Lefevre, TA McCourt

Research output: Contribution to journalArticle (Academic Journal)

3 Citations (Scopus)

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.
Translated title of the contributionSelf-embeddings of cyclic and projective Steiner quasigroups
Original languageEnglish
Pages (from-to)16 - 27
Number of pages12
JournalJournal of Combinatorial Designs
Volume19, issue 1
DOIs
Publication statusPublished - Jan 2011

Bibliographical note

Publisher: Wiley

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  • Cite this

    Donovan, DM., Grannell, MJ., Griggs, TS., Lefevre, JG., & McCourt, TA. (2011). Self-embeddings of cyclic and projective Steiner quasigroups. Journal of Combinatorial Designs, 19, issue 1, 16 - 27. https://doi.org/10.1002/jcd.20258