Article ID Journal Published Year Pages File Type
4656586 Journal of Combinatorial Theory, Series A 2007 43 Pages PDF
Abstract

This paper concerns the embedding problem for partial totally symmetric quasigroups. For all n⩾9, it is shown that any partial totally symmetric quasigroup of order n can be embedded in a totally symmetric quasigroup of order v if v is even and v⩾2n+4, and this is the best possible such inequality.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics