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 2(n) - 1 has a biembedding with a copy of itself. (C) 2010 Wiley Periodicals, Inc. J Combin Designs 19: 16-27, 2010
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