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Self‐embeddings of cyclic and projective Steiner quasigroups
Author(s) -
Donovan Diane M.,
Grannell Mike J.,
Griggs Terry S.,
Lefevre James G.,
McCourt Thomas
Publication year - 2011
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.20258
Subject(s) - quasigroup , steiner system , mathematics , combinatorics , order (exchange) , projective test , discrete mathematics , pure mathematics , finance , economics
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 2 n −1 has a biembedding with a copy of itself. © 2010 Wiley Periodicals, Inc. J Combin Designs 19:16‐27, 2010
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