Self-embeddings of cyclic and projective Steiner quasigroups

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

doi:10.1002/jcd.20258

Self-embeddings of cyclic and projective Steiner quasigroups

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

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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 contribution	Self-embeddings of cyclic and projective Steiner quasigroups
Original language	English
Pages (from-to)	16 - 27
Number of pages	12
Journal	Journal of Combinatorial Designs
Volume	19, issue 1
DOIs	https://doi.org/10.1002/jcd.20258
Publication status	Published - Jan 2011

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Publisher: Wiley

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title = "Self-embeddings of cyclic and projective Steiner quasigroups",

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.",

author = "DM Donovan and MJ Grannell and TS Griggs and JG Lefevre and TA McCourt",

note = "Publisher: Wiley",

year = "2011",

month = jan,

doi = "10.1002/jcd.20258",

language = "English",

volume = "19, issue 1",

pages = "16 -- 27",

journal = "Journal of Combinatorial Designs",

issn = "1063-8539",

publisher = "John Wiley & Sons, Inc",

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TY - JOUR

T1 - Self-embeddings of cyclic and projective Steiner quasigroups

AU - Donovan, DM

AU - Grannell, MJ

AU - Griggs, TS

AU - Lefevre, JG

AU - McCourt, TA

N1 - Publisher: Wiley

PY - 2011/1

Y1 - 2011/1

N2 - 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.

AB - 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.

U2 - 10.1002/jcd.20258

DO - 10.1002/jcd.20258

M3 - Article (Academic Journal)

VL - 19, issue 1

SP - 16

EP - 27

JO - Journal of Combinatorial Designs

JF - Journal of Combinatorial Designs

SN - 1063-8539

ER -

Self-embeddings of cyclic and projective Steiner quasigroups

Abstract

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