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|
|Pages (from-to)||16 - 27|
|Number of pages||12|
|Journal||Journal of Combinatorial Designs|
|Volume||19, issue 1|
|Publication status||Published - Jan 2011|